425740323808800 has 5184 divisors, whose sum is σ = 2093279571032832. Its totient is φ = 79180333056000.

The previous prime is 425740323808769. The next prime is 425740323808817. The reversal of 425740323808800 is 8808323047524.

425740323808800 is a `hidden beast` number, since 4 + 2 + 574 + 0 + 32 + 38 + 0 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×425740323808800² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 737851514112 + ... + 737851514688.

It is an arithmetic number, because the mean of its divisors is an integer number (403796213548).

Almost surely, 2^{425740323808800} is an apocalyptic number.

425740323808800 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 425740323808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046639785516416).

425740323808800 is an abundant number, since it is smaller than the sum of its proper divisors (1667539247224032).

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

425740323808800 is a wasteful number, since it uses less digits than its factorization.

425740323808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 425740323808800 in words is "four hundred twenty-five trillion, seven hundred forty billion, three hundred twenty-three million, eight hundred eight thousand, eight hundred".