45747130420400 has 60 divisors (see below), whose sum is σ = 110007671024952. Its totient is φ = 18282171179520.

The previous prime is 45747130420391. The next prime is 45747130420423. The reversal of 45747130420400 is 402403174754.

45747130420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51688742 + ... + 52566341.

Almost surely, 2^{45747130420400} is an apocalyptic number.

45747130420400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45747130420400 is an abundant number, since it is smaller than the sum of its proper divisors (64260540604552).

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

45747130420400 is a wasteful number, since it uses less digits than its factorization.

45747130420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104256198 (or 104256187 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The spelling of 45747130420400 in words is "forty-five trillion, seven hundred forty-seven billion, one hundred thirty million, four hundred twenty thousand, four hundred".