45437792400 has 1440 divisors, whose sum is σ = 220023917568. Its totient is φ = 8696678400.

The previous prime is 45437792371. The next prime is 45437792419. The reversal of 45437792400 is 429773454.

45437792400 is a `hidden beast` number, since 454 + 3 + 77 + 92 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 97296967 + ... + 97297433.

Almost surely, 2^45437792400 is an apocalyptic number.

45437792400 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 45437792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110011958784).

45437792400 is an abundant number, since it is smaller than the sum of its proper divisors (174586125168).

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

45437792400 is a wasteful number, since it uses less digits than its factorization.

45437792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 45437792400 in words is "forty-five billion, four hundred thirty-seven million, seven hundred ninety-two thousand, four hundred".