421957960700160 has 288 divisors, whose sum is σ = 1391289100895232. Its totient is φ = 108877583646720.

The previous prime is 421957960700131. The next prime is 421957960700219. The reversal of 421957960700160 is 61007069759124.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 421957960700160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889825042 + ... + 890299118.

It is an arithmetic number, because the mean of its divisors is an integer number (4830864933664).

Almost surely, 2^{421957960700160} is an apocalyptic number.

421957960700160 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 421957960700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695644550447616).

421957960700160 is an abundant number, since it is smaller than the sum of its proper divisors (969331140195072).

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

421957960700160 is a wasteful number, since it uses less digits than its factorization.

421957960700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481609 (or 481595 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 421957960700160 in words is "four hundred twenty-one trillion, nine hundred fifty-seven billion, nine hundred sixty million, seven hundred thousand, one hundred sixty".