500505940400 has 30 divisors (see below), whose sum is σ = 1202465522772. Its totient is φ = 200202376000.

The previous prime is 500505940391. The next prime is 500505940433. The reversal of 500505940400 is 4049505005.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 625632026 + ... + 625632825.

Almost surely, 2^500505940400 is an apocalyptic number.

500505940400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

500505940400 is an abundant number, since it is smaller than the sum of its proper divisors (701959582372).

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

500505940400 is a wasteful number, since it uses less digits than its factorization.

500505940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251264869 (or 1251264858 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 500505940400 in words is "five hundred billion, five hundred five million, nine hundred forty thousand, four hundred".