Christie's declined to say whether the museum bought the painting.
A spokeswoman for Christie's offered her congratulations to the Louvre Abu Dhabi, telling CNN that she was "delighted that the piece is going to be on view in public".
Christie's postwar and contemporary art co-chairman Alex Rotter was representing Prince Bader during the auction, who, interestingly, is not well-known as an art collector.
On Wednesday, the Louvre Abu Dhabi announced that the record-breaking Da Vinci painting would be displayed there. Now the painting that far surpassed the former record held by Picasso's Women of Algiers (which fetched $179.4 million in 2015) has found a new home.
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The Louvre Abu Dhabi museum opened earlier this month in the United Arab Emirates.
The firm's website describes him as "one of Saudi Arabia's youngest" entrepreneurs, present in sectors including real estate, telecommunications and recycling.
The painting by the Italian Renaissance master grabbed headlines when it was sold for a record-breaking price at Christie's auction house in NY. The work of art circulated over the years among buyers and was badly damaged.
Believed to be the last Da Vinci in private hands, "Salvator Mundi" commanded four times what Christie's had projected even as skeptics questioned its authenticity.
It had sold for a mere £45 in 1958, when the painting was thought to have been a copy, and was lost until it resurfaced at a regional auction in 2005.
He had bought the painting in 2013 for $127.5m although he later accused a Swiss art dealer of overcharging him.