401308232637312 has 4608 divisors, whose sum is σ = 1690670112768000. Its totient is φ = 91897240780800.

The previous prime is 401308232637289. The next prime is 401308232637313. The reversal of 401308232637312 is 213736232803104.

401308232637312 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 0 + 8 + 2 + 3 + 2 + 637 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×401308232637312² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401308232637313) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2101090223137 + ... + 2101090223327.

It is an arithmetic number, because the mean of its divisors is an integer number (366898896000).

Almost surely, 2^{401308232637312} is an apocalyptic number.

401308232637312 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 401308232637312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845335056384000).

401308232637312 is an abundant number, since it is smaller than the sum of its proper divisors (1289361880130688).

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

401308232637312 is a wasteful number, since it uses less digits than its factorization.

401308232637312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 401308232637312 in words is "four hundred one trillion, three hundred eight billion, two hundred thirty-two million, six hundred thirty-seven thousand, three hundred twelve".