363431064642400 has 144 divisors (see below), whose sum is σ = 917961428458368. Its totient is φ = 140358085632000.

The previous prime is 363431064642377. The next prime is 363431064642469. The reversal of 363431064642400 is 4246460134363.

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, 6183631 + ... + 27660430.

It is an arithmetic number, because the mean of its divisors is an integer number (6374732142072).

Almost surely, 2^{363431064642400} is an apocalyptic number.

It is an amenable number.

363431064642400 is an abundant number, since it is smaller than the sum of its proper divisors (554530363815968).

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

363431064642400 is a wasteful number, since it uses less digits than its factorization.

363431064642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33844545 (or 33844532 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 46.

The spelling of 363431064642400 in words is "three hundred sixty-three trillion, four hundred thirty-one billion, sixty-four million, six hundred forty-two thousand, four hundred".