401508936729600 has 2112 divisors, whose sum is σ = 1620016979277312. Its totient is φ = 85614133248000.

The previous prime is 401508936729559. The next prime is 401508936729653. The reversal of 401508936729600 is 6927639805104.

It is a super-2 number, since 2×401508936729600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 927272370984 + ... + 927272371416.

It is an arithmetic number, because the mean of its divisors is an integer number (767053493976).

It is a 1-persistent number, because it is pandigital, but 2⋅401508936729600 = 803017873459200 is not.

Almost surely, 2^{401508936729600} is an apocalyptic number.

401508936729600 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 401508936729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810008489638656).

401508936729600 is an abundant number, since it is smaller than the sum of its proper divisors (1218508042547712).

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

401508936729600 is a wasteful number, since it uses less digits than its factorization.

401508936729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 401508936729600 in words is "four hundred one trillion, five hundred eight billion, nine hundred thirty-six million, seven hundred twenty-nine thousand, six hundred".