45153504400 has 60 divisors (see below), whose sum is σ = 109555464564. Its totient is φ = 17882560000.

The previous prime is 45153504391. The next prime is 45153504419. The reversal of 45153504400 is 440535154.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2374028176 + 42779476224 = 48724^2 + 206832^2 .

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, 518431 + ... + 599230.

Almost surely, 2^45153504400 is an apocalyptic number.

45153504400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45153504400 is an abundant number, since it is smaller than the sum of its proper divisors (64401960164).

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

45153504400 is a wasteful number, since it uses less digits than its factorization.

45153504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117780 (or 1117769 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 45153504400 in words is "forty-five billion, one hundred fifty-three million, five hundred four thousand, four hundred".