502640406000 has 120 divisors (see below), whose sum is σ = 1755555454224. Its totient is φ = 134037436800.

The previous prime is 502640405989. The next prime is 502640406007. The reversal of 502640406000 is 604046205.

It is a happy number.

502640406000 is a `hidden beast` number, since 50 + 2 + 6 + 4 + 0 + 4 + 0 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502640406007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13944234 + ... + 13980233.

Almost surely, 2^502640406000 is an apocalyptic number.

502640406000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

502640406000 is an abundant number, since it is smaller than the sum of its proper divisors (1252915048224).

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

502640406000 is a wasteful number, since it uses less digits than its factorization.

502640406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27924496 (or 27924477 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 502640406000 in words is "five hundred two billion, six hundred forty million, four hundred six thousand".