7850929406401 has 27 divisors (see below), whose sum is σ = 8291844256969. Its totient is φ = 7433105275232.

The previous prime is 7850929406389. The next prime is 7850929406407. The reversal of 7850929406401 is 1046049290587.

The square root of 7850929406401 is 2801951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 492600441025 + 7358328965376 = 701855^2 + 2712624^2 .

It is not a de Polignac number, because 7850929406401 - 2³⁷ = 7713490452929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7850929406407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4306597776 + ... + 4306599598.

Almost surely, 2^{7850929406401} is an apocalyptic number.

7850929406401 is the 2801951-st square number.

7850929406401 is the 1400976-th centered octagonal number.

It is an amenable number.

7850929406401 is a deficient number, since it is larger than the sum of its proper divisors (440914850568).

7850929406401 is an frugal number, since it uses more digits than its factorization.

7850929406401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 7850929406401 in words is "seven trillion, eight hundred fifty billion, nine hundred twenty-nine million, four hundred six thousand, four hundred one".