4056129251964 has 48 divisors (see below), whose sum is σ = 10620008411040. Its totient is φ = 1338656515200.

The previous prime is 4056129251939. The next prime is 4056129252011. The reversal of 4056129251964 is 4691529216504.

It is a happy number.

4056129251964 is a `hidden beast` number, since 4 + 0 + 5 + 61 + 2 + 9 + 2 + 519 + 64 = 666.

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 4056129251964.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185913609 + ... + 185935424.

It is an arithmetic number, because the mean of its divisors is an integer number (221250175230).

Almost surely, 2^{4056129251964} is an apocalyptic number.

It is an amenable number.

4056129251964 is an abundant number, since it is smaller than the sum of its proper divisors (6563879159076).

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

4056129251964 is a wasteful number, since it uses less digits than its factorization.

4056129251964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371849147 (or 371849139 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 4056129251964 in words is "four trillion, fifty-six billion, one hundred twenty-nine million, two hundred fifty-one thousand, nine hundred sixty-four".