4052256164400 has 60 divisors (see below), whose sum is σ = 12980727250472. Its totient is φ = 1080601643520.

The previous prime is 4052256164399. The next prime is 4052256164471. The reversal of 4052256164400 is 44616522504.

4052256164400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×4052256164400³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1688438869 + ... + 1688441268.

Almost surely, 2^{4052256164400} is an apocalyptic number.

4052256164400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4052256164400 is an abundant number, since it is smaller than the sum of its proper divisors (8928471086072).

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

4052256164400 is a wasteful number, since it uses less digits than its factorization.

4052256164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376880158 (or 3376880147 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 4052256164400 in words is "four trillion, fifty-two billion, two hundred fifty-six million, one hundred sixty-four thousand, four hundred".