5004918400 has 48 divisors (see below), whose sum is σ = 12363720390. Its totient is φ = 2001966080.

The previous prime is 5004918389. The next prime is 5004918437. The reversal of 5004918400 is 48194005.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3880791616 + 1124126784 = 62296^2 + 33528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 778819 + ... + 785218.

Almost surely, 2^5004918400 is an apocalyptic number.

5004918400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5004918400 is an abundant number, since it is smaller than the sum of its proper divisors (7358801990).

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

5004918400 is a wasteful number, since it uses less digits than its factorization.

5004918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564061 (or 1564044 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 5004918400 is about 70745.4479100952. The cubic root of 5004918400 is about 1710.5364526438.

The spelling of 5004918400 in words is "five billion, four million, nine hundred eighteen thousand, four hundred".