The impression is that Saint-Saens anticipated the popularity of "The Carnival of the Animals" and to avoid embarrassment, only allowed it to be published after his death in 1921. It was originally scored for just 11 players including 2 pianos but is sometimes played by a small orchestra. The original version for Double Bass and Piano depicting a comic impression of a lumbering elephant, and the more graceful The Swan (for cello and 2 pianos) are also available on mfiles. For this version the music has been arranged slightly so that it can be played by a solo piano. You can see a video of this arrangement being played below, or scroll down to see the sheet music. You can download the sheet music, Midi and Mp3 files using the links in the left-hand menu. The full "Carnival of the Animals" consisting of 14 pieces arranged for Piano Solo is available from at these links at Sheet Music Plus (US) or The Music Room (UK).
Here is a video of Saint-Saens' The Elephant from Carnival of the Animals for piano:
The audio controls below allow you to play the mp3 version of Saint-Saens' The Elephant from Carnival of the Animals for piano or you can download the MP3 file. You can also download the midi version of Saint-Saens' The Elephant from Carnival of the Animals for piano.
The image below is the first page of the sheet music, and here you can download the full sheet music for Saint-Saens' The Elephant from Carnival of the Animals for piano in PDF format.