425791416960 has 1920 divisors, whose sum is σ = 1931904120960. Its totient is φ = 87469424640.

The previous prime is 425791416917. The next prime is 425791416961. The reversal of 425791416960 is 69614197524.

425791416960 is a `hidden beast` number, since 4 + 2 + 57 + 91 + 416 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 425791416897 and 425791416906.

It is not an unprimeable number, because it can be changed into a prime (425791416961) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3250316095 + ... + 3250316225.

It is an arithmetic number, because the mean of its divisors is an integer number (1006200063).

Almost surely, 2^425791416960 is an apocalyptic number.

425791416960 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 425791416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965952060480).

425791416960 is an abundant number, since it is smaller than the sum of its proper divisors (1506112704000).

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

425791416960 is a wasteful number, since it uses less digits than its factorization.

425791416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 425791416960 in words is "four hundred twenty-five billion, seven hundred ninety-one million, four hundred sixteen thousand, nine hundred sixty".