5040958963264 has 63 divisors (see below), whose sum is σ = 11636611010577. Its totient is φ = 2160357099264.

The previous prime is 5040958963259. The next prime is 5040958963277. The reversal of 5040958963264 is 4623698590405.

The square root of 5040958963264 is 2245208.

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., 303336577600 + 4737622385664 = 550760^2 + 2176608^2 .

It is a super-2 number, since 2×5040958963264² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125711602 + ... + 125751694.

It is an arithmetic number, because the mean of its divisors is an integer number (184708111279).

Almost surely, 2^{5040958963264} is an apocalyptic number.

5040958963264 is the 2245208-th square number.

It is an amenable number.

5040958963264 is an abundant number, since it is smaller than the sum of its proper divisors (6595652047313).

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

5040958963264 is an frugal number, since it uses more digits than its factorization.

5040958963264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80212 (or 40102 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 61.

The spelling of 5040958963264 in words is "five trillion, forty billion, nine hundred fifty-eight million, nine hundred sixty-three thousand, two hundred sixty-four".