401765079917160 has 512 divisors, whose sum is σ = 1407648620851200. Its totient is φ = 101732064445440.

The previous prime is 401765079917143. The next prime is 401765079917177. The reversal of 401765079917160 is 61719970567104.

401765079917160 is a `hidden beast` number, since 4 + 0 + 17 + 6 + 507 + 99 + 17 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (401765079917143) and next prime (401765079917177).

It is a super-2 number, since 2×401765079917160² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4254721867 + ... + 4254816293.

It is an arithmetic number, because the mean of its divisors is an integer number (2749313712600).

Almost surely, 2^{401765079917160} is an apocalyptic number.

401765079917160 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 401765079917160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703824310425600).

401765079917160 is an abundant number, since it is smaller than the sum of its proper divisors (1005883540934040).

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

401765079917160 is a wasteful number, since it uses less digits than its factorization.

401765079917160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95718 (or 95708 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 401765079917160 in words is "four hundred one trillion, seven hundred sixty-five billion, seventy-nine million, nine hundred seventeen thousand, one hundred sixty".