7959801401344 has 117 divisors (see below), whose sum is σ = 17241366620169. Its totient is φ = 3672671109120.

The previous prime is 7959801401341. The next prime is 7959801401351. The reversal of 7959801401344 is 4431041089597.

The square root of 7959801401344 is 2821312.

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

It can be written as a sum of positive squares in only one way, i.e., 1177485414400 + 6782315986944 = 1085120^2 + 2604288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7959801401341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2347329889 + ... + 2347333279.

Almost surely, 2^{7959801401344} is an apocalyptic number.

7959801401344 is the 2821312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7959801401344

7959801401344 is an abundant number, since it is smaller than the sum of its proper divisors (9281565218825).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7959801401344 is an frugal number, since it uses more digits than its factorization.

7959801401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 3406 counting only the distinct ones).

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

The spelling of 7959801401344 in words is "seven trillion, nine hundred fifty-nine billion, eight hundred one million, four hundred one thousand, three hundred forty-four".