42564036602400 has 72 divisors (see below), whose sum is σ = 138545939148624. Its totient is φ = 11350409760000.

The previous prime is 42564036602363. The next prime is 42564036602441. The reversal of 42564036602400 is 420663046524.

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, 8867505226 + ... + 8867510025.

It is an arithmetic number, because the mean of its divisors is an integer number (1924249154842).

Almost surely, 2^{42564036602400} is an apocalyptic number.

42564036602400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42564036602400 is an abundant number, since it is smaller than the sum of its proper divisors (95981902546224).

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

42564036602400 is a wasteful number, since it uses less digits than its factorization.

42564036602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17735015274 (or 17735015261 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 42564036602400 its reverse (420663046524), we get a palindrome (42984699648924).

The spelling of 42564036602400 in words is "forty-two trillion, five hundred sixty-four billion, thirty-six million, six hundred two thousand, four hundred".