4052942028864 has 105 divisors (see below), whose sum is σ = 12014619537261. Its totient is φ = 1350932359680.

The previous prime is 4052942028853. The next prime is 4052942028881. The reversal of 4052942028864 is 4688202492504.

The square root of 4052942028864 is 2013192.

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

4052942028864 is a `hidden beast` number, since 405 + 29 + 4 + 202 + 8 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 946324275264 + 3106617753600 = 972792^2 + 1762560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4052942028864.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 144935844 + ... + 144963804.

Almost surely, 2^{4052942028864} is an apocalyptic number.

4052942028864 is the 2013192-nd square number.

It is an amenable number.

4052942028864 is an abundant number, since it is smaller than the sum of its proper divisors (7961677508397).

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

4052942028864 is an frugal number, since it uses more digits than its factorization.

4052942028864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55946 (or 27966 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 4052942028864 in words is "four trillion, fifty-two billion, nine hundred forty-two million, twenty-eight thousand, eight hundred sixty-four".