From a very known site about coachbuilding:
"This is LALW 31, which is certainly by Franay, and on the long wheel base chassis, and was delivered after the show in 1952, to the crown prince of Iraq (not Saudi-Arabia), who later became King Feisal II. However, it seems that the car was formally ordered by the Prince-Regent Saad (his uncle), as the crown prince was still under age then. A story told by the late King Hussain II of Jordan, was that after some use in France for visits of the crown prince, the car when in Iraq, was in firm hands with the Prince Regent, while the crown prince had to make do with a battered old American car. Later both the then King Faisal II and the Prince Regent ordered Phantom IV's...
Later the car was resprayed from its original primrose and grey colourscheme to a more sombre monotone, and has been in the UK where it survives.
The car shown in the movie is an earlier production by Franay, LWME 58, on the 1951 show, on the short wheelbase chassis, for Aristotle Onassis, the Greek shipping millionaire, who resided both in Paris and Monte Carlo. This car also survives. Yet another Sedanca de Ville was on the 1950 show, and this was supplied to the Saudi Prince Talal al Saoud, WHD 81, shown below"