45910022400 has 1080 divisors, whose sum is σ = 189345318624. Its totient is φ = 10882252800.

The previous prime is 45910022399. The next prime is 45910022423. The reversal of 45910022400 is 422001954.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 473299152 + ... + 473299248.

Almost surely, 2^45910022400 is an apocalyptic number.

45910022400 is a gapful number since it is divisible by the number (40) 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 45910022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94672659312).

45910022400 is an abundant number, since it is smaller than the sum of its proper divisors (143435296224).

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

45910022400 is a wasteful number, since it uses less digits than its factorization.

45910022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 45910022400 in words is "forty-five billion, nine hundred ten million, twenty-two thousand, four hundred".