401315814144 has 972 divisors, whose sum is σ = 1452865711752. Its totient is φ = 110152949760.

The previous prime is 401315814103. The next prime is 401315814161. The reversal of 401315814144 is 441418513104.

401315814144 is a `hidden beast` number, since 4 + 0 + 1 + 31 + 581 + 4 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×401315814144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401315814099 and 401315814108.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2929312444 + ... + 2929312580.

Almost surely, 2^401315814144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401315814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726432855876).

401315814144 is an abundant number, since it is smaller than the sum of its proper divisors (1051549897608).

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

401315814144 is an equidigital number, since it uses as much as digits as its factorization.

401315814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 401315814144 in words is "four hundred one billion, three hundred fifteen million, eight hundred fourteen thousand, one hundred forty-four".