4057952597504 has 80 divisors (see below), whose sum is σ = 8842198854720. Its totient is φ = 1849193349120.

The previous prime is 4057952597431. The next prime is 4057952597537.

4057952597504 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3332837 + ... + 4384484.

It is an arithmetic number, because the mean of its divisors is an integer number (110527485684).

Almost surely, 2^{4057952597504} is an apocalyptic number.

It is an amenable number.

4057952597504 is an abundant number, since it is smaller than the sum of its proper divisors (4784246257216).

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

4057952597504 is an equidigital number, since it uses as much as digits as its factorization.

4057952597504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717431 (or 7717415 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 62.

The spelling of 4057952597504 in words is "four trillion, fifty-seven billion, nine hundred fifty-two million, five hundred ninety-seven thousand, five hundred four".