425874758400 has 2592 divisors, whose sum is σ = 2020556301120. Its totient is φ = 86951854080.

The previous prime is 425874758333. The next prime is 425874758461. The reversal of 425874758400 is 4857478524.

425874758400 is a `hidden beast` number, since 4 + 2 + 58 + 7 + 4 + 7 + 584 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5833900764 + ... + 5833900836.

It is an arithmetic number, because the mean of its divisors is an integer number (779535610).

Almost surely, 2^425874758400 is an apocalyptic number.

425874758400 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 425874758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010278150560).

425874758400 is an abundant number, since it is smaller than the sum of its proper divisors (1594681542720).

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

425874758400 is a wasteful number, since it uses less digits than its factorization.

425874758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 425874758400 in words is "four hundred twenty-five billion, eight hundred seventy-four million, seven hundred fifty-eight thousand, four hundred".