412371164160 has 352 divisors, whose sum is σ = 1467215580480. Its totient is φ = 109836435456.

The previous prime is 412371164131. The next prime is 412371164263. The reversal of 412371164160 is 61461173214.

412371164160 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 7 + 1 + 1 + 641 + 6 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 200861694 + ... + 200863746.

Almost surely, 2^412371164160 is an apocalyptic number.

412371164160 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 412371164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733607790240).

412371164160 is an abundant number, since it is smaller than the sum of its proper divisors (1054844416320).

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

412371164160 is a wasteful number, since it uses less digits than its factorization.

412371164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 412371164160 in words is "four hundred twelve billion, three hundred seventy-one million, one hundred sixty-four thousand, one hundred sixty".