401616083232 has 432 divisors, whose sum is σ = 1451624690880. Its totient is φ = 103054768128.

The previous prime is 401616083207. The next prime is 401616083249. The reversal of 401616083232 is 232380616104.

401616083232 is a `hidden beast` number, since 4 + 0 + 1 + 616 + 0 + 8 + 3 + 2 + 32 = 666.

It is a super-2 number, since 2×401616083232² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12590119 + ... + 12621977.

It is an arithmetic number, because the mean of its divisors is an integer number (3360242340).

Almost surely, 2^401616083232 is an apocalyptic number.

401616083232 is a gapful number since it is divisible by the number (42) 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 401616083232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725812345440).

401616083232 is an abundant number, since it is smaller than the sum of its proper divisors (1050008607648).

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

401616083232 is a wasteful number, since it uses less digits than its factorization.

401616083232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31945 (or 31921 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 401616083232 its reverse (232380616104), we get a palindrome (633996699336).

The spelling of 401616083232 in words is "four hundred one billion, six hundred sixteen million, eighty-three thousand, two hundred thirty-two".