We now know exactly what happened. NSA will have the tapes.

[Egnever]

35. Following that link brings you to this

time. In January 2007, Bret Swanson of the Discovery Institute coined the term exaflood for a supposedly impending flood of exabytes that would cause the Internet's congestive collapse.[3][4] Nevertheless, the global Internet traffic has continued its exponential growth, undisturbed, and as of March 2010 it is estimated at 21 exabytes per month.[5]

That was 7 years ago. Assuming an equal growth curve it far surpasses the ability of even Utah to store .

Also this

The world's effective capacity to exchange information through two-way telecommunication networks was 0.281 exabytes of information in 1986, 0.471 in 1993, 2.2 in 2000, and 65 exabytes in 2007 (yet again, all such amounts listed are strictly working off the basis that the data was in an "optimally compressed" form)

Again far too much to effectively store forget about transferring to a storage facility.

I am highly skeptical of claims they can store all phone calls for a day forget about a month. They would be consuming a huge portion of the total capacity of the internet backbone just to accomplish it.