45417678400 has 168 divisors, whose sum is σ = 116021185280. Its totient is φ = 17480448000.

The previous prime is 45417678367. The next prime is 45417678403. The reversal of 45417678400 is 487671454.

It is a super-2 number, since 2×45417678400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45417678403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8975071 + ... + 8980129.

Almost surely, 2^45417678400 is an apocalyptic number.

45417678400 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 45417678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58010592640).

45417678400 is an abundant number, since it is smaller than the sum of its proper divisors (70603506880).

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

45417678400 is a wasteful number, since it uses less digits than its factorization.

45417678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 45417678400 in words is "forty-five billion, four hundred seventeen million, six hundred seventy-eight thousand, four hundred".