401637897567360 has 1280 divisors, whose sum is σ = 1482852555993600. Its totient is φ = 103555000074240.

The previous prime is 401637897567329. The next prime is 401637897567391. The reversal of 401637897567360 is 63765798736104.

401637897567360 is a `hidden beast` number, since 4 + 0 + 1 + 63 + 7 + 89 + 75 + 67 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (401637897567329) and next prime (401637897567391).

It is a super-2 number, since 2×401637897567360² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47469313530 + ... + 47469321990.

It is an arithmetic number, because the mean of its divisors is an integer number (1158478559370).

Almost surely, 2^{401637897567360} is an apocalyptic number.

401637897567360 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 401637897567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741426277996800).

401637897567360 is an abundant number, since it is smaller than the sum of its proper divisors (1081214658426240).

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

401637897567360 is a wasteful number, since it uses less digits than its factorization.

401637897567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 401637897567360 in words is "four hundred one trillion, six hundred thirty-seven billion, eight hundred ninety-seven million, five hundred sixty-seven thousand, three hundred sixty".