401311823328 has 384 divisors, whose sum is σ = 1369699430400. Its totient is φ = 113206118400.

The previous prime is 401311823317. The next prime is 401311823329. The reversal of 401311823328 is 823328113104.

401311823328 is a `hidden beast` number, since 4 + 0 + 1 + 311 + 8 + 2 + 332 + 8 = 666.

It is a super-2 number, since 2×401311823328² (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 = 401311823292 and 401311823301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401311823329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6585318 + ... + 6645978.

It is an arithmetic number, because the mean of its divisors is an integer number (3566925600).

Almost surely, 2^401311823328 is an apocalyptic number.

401311823328 is a gapful number since it is divisible by the number (48) 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 401311823328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684849715200).

401311823328 is an abundant number, since it is smaller than the sum of its proper divisors (968387607072).

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

401311823328 is a wasteful number, since it uses less digits than its factorization.

401311823328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60743 (or 60729 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 401311823328 in words is "four hundred one billion, three hundred eleven million, eight hundred twenty-three thousand, three hundred twenty-eight".