The Starfleet starship registry prefix “NCC” doesn't officially mean anything other than it is the standard prefix for starships in service. There have been other prefixes, notably “NX,” denoting a prototype, or experimental vessel. The two most famous ships with this prefix would be the U.S.S. Excelsior NX-2000 and the U.S.S. Defiant NX-74205. Once the U.S.S. Excelsior was rendered operational, the prefix changed to the standard NCC.
“Star Trek: FAQ: What does the starship registry prefix “NCC” mean? [1]”
[Enterprise: NCC-1701] [2] (Enterprise: NCC-1701) [3] Of all the Star Trek [4] ships called “Enterprise,” the one I find most beautiful (and one I would love to own—either as a model or the “real thing”) is the retrofited NCC-1701 [5] from Star Trek: The Motion Picture [6]. The model used for filming was seven feet in length [7] and according to the artist [8] who painted that model, it is indeed white although it's hard to tell.
And while I would love to have that seven foot model, I'm not sure where I would stick the darned thing …
[1] http://www.startrek.com/information/faq.asp?ID=1365
[2] /boston/2003/04/15/STMPent03.thumb.jpg
[3] /boston/2003/04/15/STMPent03.jpg
[5] http://www.cloudster.com/Sets&Vehicles/STMPEnterprise/STMPEnterpriseTop.htm
[6] http://us.imdb.com/Title?0079945
[7] /boston/2003/04/15/STMPent44.jpg