Content includes Swift's poetry, photos, artwork, hand-written lyrics and a behind-the-scenes look at her "Look What You Made Me Do" video.
Meanwhile, iHeartRadio's premiere of the song at 144 Top 40 and Hot AC stations resulted in "Look What You Made Me Do" landing at No. 18 on the Mediabase Top 40 chart, with 5,400 spins (39 million total audience); No. 16 on the Hot AC chart, with more than 1,942 spins (15 million); and No. 23 on AC, with 178 spins (2.8 million).
Swift and Kanye have been feuding ever since he stormed the stage at the MTV Video Music Awards in 2009 because he thought singer Beyonce Knowles deserved the Best Female Video prize over her.
Director Joseph Kahn celebrated the achievement on Twitter, telling Swift's fans "you are all amazing".
YouTube officials have also confirmed the song's lyric video was played 19 million times within the first 24 hours of its launch by users, a new record for the video-streaming site.
Meanwhile, Taylor is teaming up with bosses at UPS, choosing to use the USA courier service as her "official delivery partner" for the release of her new album.
Rolling Stone was more positive, praising Swift and playing the villain and "owning her bad press instead of merely brushing it off".
"Look What You Made Me Do" broke Spotify's record for the most listened to songs after an initial release.
Regardless of the truth in the situation, Taylor Swift is taking back her reputation and at this point isn't answering questions about the drama that preceded her sixth album.
Swift is one Target's best-selling artists of all time, Mark Tritton, executive vice president and chief merchandising officer, said in the statement, and the magazine gives the retailer an exclusive collectible for her fans during the fall shopping season.