Sent off the 4-1 favourite on Saturday, the horse, ridden by Davy Russell and trained by Gordon Elliott, was the shortest-priced winner since Poethlyn 100 years ago, seeing off runner-up Magic Of Light by just under three lengths despite carrying 6lb more in weight than last year.

O'Leary, who owns the horse through the Gigginstown House Stud operation he runs with his brother, knows he would almost certainly be made top weight in 2020 for the handicap chase, which would mean another 5lb to carry.

Tiger Roll has looked an even better horse this year, and the way he travelled so sweetly in the National had some observers suggesting he should run in next year's Cheltenham Gold Cup.

"We are not tempted by the Gold Cup - he is a small horse, the Gold Cup is such an attritional race," said O'Leary.

"He has won four times at Cheltenham, and if he were to go back and win five times at Cheltenham - what more do you want from the horse? I think at that stage I would mind every precious hair in his body."

O'Leary flew back to Dublin on Saturday night with Elliott and Russell among the passengers on one of his aviation firm's planes and he treated passengers to two free drinks each.

On Sunday, the horse was paraded through the village of Summerhill, County Meath - near to where he is trained - and a crowd of about 2,000 people gathered for the homecoming.