556411420400 has 120 divisors (see below), whose sum is σ = 1535056809600. Its totient is φ = 191682374400.

The previous prime is 556411420391. The next prime is 556411420459. The reversal of 556411420400 is 4024114655.

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 23 ways as a sum of consecutive naturals, for example, 3244220 + ... + 3411419.

It is an arithmetic number, because the mean of its divisors is an integer number (12792140080).

Almost surely, 2^556411420400 is an apocalyptic number.

556411420400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

556411420400 is an abundant number, since it is smaller than the sum of its proper divisors (978645389200).

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

556411420400 is a wasteful number, since it uses less digits than its factorization.

556411420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655687 (or 6655676 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 556411420400 in words is "five hundred fifty-six billion, four hundred eleven million, four hundred twenty thousand, four hundred".