45207914400 has 864 divisors, whose sum is σ = 186822417600. Its totient is φ = 10581580800.

The previous prime is 45207914357. The next prime is 45207914441. The reversal of 45207914400 is 441970254.

It is a happy number.

45207914400 is a `hidden beast` number, since 4 + 5 + 207 + 9 + 1 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1558893586 + ... + 1558893614.

It is an arithmetic number, because the mean of its divisors is an integer number (216229650).

Almost surely, 2^45207914400 is an apocalyptic number.

45207914400 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 45207914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93411208800).

45207914400 is an abundant number, since it is smaller than the sum of its proper divisors (141614503200).

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

45207914400 is an equidigital number, since it uses as much as digits as its factorization.

45207914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 45207914400 in words is "forty-five billion, two hundred seven million, nine hundred fourteen thousand, four hundred".