What is the name of Apple's digital music and media store?

The name of Apple's digital music and media store is the iTunes Store.

Apple launched the iTunes Store on April 28, 2003, originally offering downloadable music for Mac users. It expanded to Windows later that year and became one of the most influential legal digital-music marketplaces, helping popularize buying individual songs instead of entire albums.

The store once offered more than music. Apple sold television shows, movies, podcasts, ringtones, apps, and ebooks through the broader iTunes ecosystem. Those services were later separated: the App Store launched in 2008, the iBooks Store in 2010, and video content moved into the Apple TV app.

A common mix-up is Apple Music, which is primarily a subscription streaming service. The iTunes Store is the purchase marketplace, although Apple has increasingly emphasized streaming over individual downloads.