4004253504564 has 96 divisors (see below), whose sum is σ = 9515835334656. Its totient is φ = 1310271567360.

The previous prime is 4004253504523. The next prime is 4004253504577. The reversal of 4004253504564 is 4654053524004.

It is a happy number.

It is a super-2 number, since 2×4004253504564² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 202296652 + ... + 202316444.

It is an arithmetic number, because the mean of its divisors is an integer number (99123284736).

Almost surely, 2^{4004253504564} is an apocalyptic number.

It is an amenable number.

4004253504564 is an abundant number, since it is smaller than the sum of its proper divisors (5511581830092).

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

4004253504564 is a wasteful number, since it uses less digits than its factorization.

4004253504564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20885 (or 20883 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 4004253504564 in words is "four trillion, four billion, two hundred fifty-three million, five hundred four thousand, five hundred sixty-four".