503134660400 has 240 divisors, whose sum is σ = 1298761516800. Its totient is φ = 186724961280.

The previous prime is 503134660393. The next prime is 503134660409. The reversal of 503134660400 is 4066431305.

It is not an unprimeable number, because it can be changed into a prime (503134660409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381450941 + ... + 381452259.

It is an arithmetic number, because the mean of its divisors is an integer number (5411506320).

Almost surely, 2^503134660400 is an apocalyptic number.

503134660400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503134660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649380758400).

503134660400 is an abundant number, since it is smaller than the sum of its proper divisors (795626856400).

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

503134660400 is a wasteful number, since it uses less digits than its factorization.

503134660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 503134660400 in words is "five hundred three billion, one hundred thirty-four million, six hundred sixty thousand, four hundred".