425375024256 has 1536 divisors, whose sum is σ = 1700329881600. Its totient is φ = 103464345600.

The previous prime is 425375024171. The next prime is 425375024299. The reversal of 425375024256 is 652420573524.

425375024256 is a `hidden beast` number, since 4 + 2 + 5 + 375 + 0 + 24 + 256 = 666.

It is a super-2 number, since 2×425375024256² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1569649401 + ... + 1569649671.

It is an arithmetic number, because the mean of its divisors is an integer number (1106985600).

Almost surely, 2^425375024256 is an apocalyptic number.

425375024256 is a gapful number since it is divisible by the number (46) 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 425375024256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850164940800).

425375024256 is an abundant number, since it is smaller than the sum of its proper divisors (1274954857344).

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

425375024256 is a wasteful number, since it uses less digits than its factorization.

425375024256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 425375024256 in words is "four hundred twenty-five billion, three hundred seventy-five million, twenty-four thousand, two hundred fifty-six".