425514640320 has 2016 divisors, whose sum is σ = 2015582220288. Its totient is φ = 80289792000.

The previous prime is 425514640267. The next prime is 425514640349. The reversal of 425514640320 is 23046415524.

425514640320 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 1 + 4 + 640 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1285542555 + ... + 1285542885.

It is an arithmetic number, because the mean of its divisors is an integer number (999792768).

Almost surely, 2^425514640320 is an apocalyptic number.

425514640320 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 425514640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007791110144).

425514640320 is an abundant number, since it is smaller than the sum of its proper divisors (1590067579968).

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

425514640320 is a wasteful number, since it uses less digits than its factorization.

425514640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 425514640320 in words is "four hundred twenty-five billion, five hundred fourteen million, six hundred forty thousand, three hundred twenty".