Betting on the Grand National is quick and easy on Paddy Power. Bet £/€10 get £/€10 in free bets for new customers(T&Cs Apply)!. Current best odds for the Grand National. The Last Samuri - 20/1. More Of That - 18/1. Shantou Flyer - 80/1. Perfect Candidate 40/1. Saphir Du. The odds are updated regularly as they are constantly changing depending on the support for each horse. The amount which the grand national odds vary.