425961118440 has 1280 divisors, whose sum is σ = 1776010199040. Its totient is φ = 90139392000.

The previous prime is 425961118439. The next prime is 425961118463. The reversal of 425961118440 is 44811169524.

425961118440 is a `hidden beast` number, since 4 + 2 + 5 + 96 + 1 + 118 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 675056925 + ... + 675057555.

It is an arithmetic number, because the mean of its divisors is an integer number (1387507968).

Almost surely, 2^425961118440 is an apocalyptic number.

425961118440 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 425961118440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888005099520).

425961118440 is an abundant number, since it is smaller than the sum of its proper divisors (1350049080600).

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

425961118440 is a wasteful number, since it uses less digits than its factorization.

425961118440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 425961118440 in words is "four hundred twenty-five billion, nine hundred sixty-one million, one hundred eighteen thousand, four hundred forty".