401316513554160 has 640 divisors, whose sum is σ = 1484477307371520. Its totient is φ = 99292848537600.

The previous prime is 401316513554093. The next prime is 401316513554161. The reversal of 401316513554160 is 61455315613104.

401316513554160 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 16 + 5 + 1 + 35 + 541 + 60 = 666.

It is a super-2 number, since 2×401316513554160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401316513554161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1404874545 + ... + 1405160175.

It is an arithmetic number, because the mean of its divisors is an integer number (2319495792768).

Almost surely, 2^{401316513554160} is an apocalyptic number.

401316513554160 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 401316513554160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742238653685760).

401316513554160 is an abundant number, since it is smaller than the sum of its proper divisors (1083160793817360).

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

401316513554160 is a wasteful number, since it uses less digits than its factorization.

401316513554160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286214 (or 286202 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 401316513554160 in words is "four hundred one trillion, three hundred sixteen billion, five hundred thirteen million, five hundred fifty-four thousand, one hundred sixty".