401323323104 has 48 divisors (see below), whose sum is σ = 861992046720. Its totient is φ = 182407205760.

The previous prime is 401323323101. The next prime is 401323323127.

401323323104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401323323104² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401323323101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6821687 + ... + 6880265.

It is an arithmetic number, because the mean of its divisors is an integer number (17958167640).

Almost surely, 2^401323323104 is an apocalyptic number.

401323323104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401323323104 is an abundant number, since it is smaller than the sum of its proper divisors (460668723616).

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

401323323104 is a wasteful number, since it uses less digits than its factorization.

401323323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78063 (or 78055 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 401323 and 323104, that added together give a palindrome (724427).

The spelling of 401323323104 in words is "four hundred one billion, three hundred twenty-three million, three hundred twenty-three thousand, one hundred four".