45425696400 has 480 divisors, whose sum is σ = 185663354880. Its totient is φ = 10333370880.

The previous prime is 45425696399. The next prime is 45425696429. The reversal of 45425696400 is 469652454.

45425696400 is a `hidden beast` number, since 4 + 5 + 42 + 569 + 6 + 40 + 0 = 666.

It is a super-3 number, since 3×45425696400³ (a number of 33 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 17159877 + ... + 17162523.

It is an arithmetic number, because the mean of its divisors is an integer number (386798656).

Almost surely, 2^45425696400 is an apocalyptic number.

45425696400 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 45425696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92831677440).

45425696400 is an abundant number, since it is smaller than the sum of its proper divisors (140237658480).

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

45425696400 is a wasteful number, since it uses less digits than its factorization.

45425696400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 45425696400 in words is "forty-five billion, four hundred twenty-five million, six hundred ninety-six thousand, four hundred".