Whimsical as these situations might sound, there is a growing market for betting on an already unpredictable Trump presidency.

Paddy Power, the Irish gambling website known for its over-the-top marketing stunts, says wagers associated with Trump have been more popular than any other novelty bets it has offered in the past year, including bets associated with Britain's referendum on whether to leave the European Union.

Now, Paddy Power is hiring a "head of Trump betting" to oversee bets related to the US president and his administration.

The company, which is part of Paddy Power Betfair, a bookmaking business based in Dublin, is advertising the three-month contracted position amid sustained interest in Trump-related bets.

A Paddy Power spokesman insisted the job is a real one, despite the irreverent manner in which its advertisement is written.

"With more than 100 special bets online, the successful candidate will monitor and manage existing Trump markets while devising new specials to launch," the company said in its online advertisement. "They will also need to build a wall around the hub to ensure foreign bets don't get in."

The ad also said "substantial experience with fake tan is preferable" and an "awareness of national security situation in Sweden" is beneficial, referring to the controversy following comments in February by Trump that implied something terrible had happened in Sweden the night before.

Keeping up with 'Trump's tweets and general idiocy'

Some of the qualifications needed, as detailed in the job ad.

On its website, Paddy Power offers customers a variety of potential bets tied to the Trump administration.

They include which member of the Trump administration is likely to resign next - Attorney General Jeff Sessions is a 2-1 favourite - and whether the president will seek to have his likeness added to Mount Rushmore this year, at 100-1.

The likelihood that Trump will announce that alien life exists: 20-1.

Paddy Power Betfair said in January that Trump's unexpected victory cost the company almost ??5 million, or about $8.1 million, in the fourth quarter.

Before the election, Paddy Power said it had paid out more than $US1 million ($1.3 million) in late October to customers who had bet on a victory by Hillary Clinton. The company had paid out $US700,000 two days before President Barack Obama's re-election in 2012.

The company did not say how much customers had wagered on Trump-related bets.

Paddy Power completed an all-stock merger with its rival Betfair last year, creating an online gambling company worth close to $12 billion.

The marketing for the Paddy Power brand includes its tongue-in-cheek blog, irreverent television advertisements and a variety of stunts.

For example, the company sent a hearse to the stadium used by British soccer team Leicester City after the team fired its manager, Claudio Ranieri, last month less than a year after winning the English Premier League.

The unexpected title run of Leicester City last year proved costly to gambling companies in Britain, costing Paddy Power more than ??2 million alone. The club had a 5,000-1 chance of winning the league going into the 2015-16 season.

The New York Times