401388883104 has 96 divisors (see below), whose sum is σ = 1180497640896. Its totient is φ = 118345605120.

The previous prime is 401388883081. The next prime is 401388883163.

401388883104 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401388883104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5097457 + ... + 5175600.

It is an arithmetic number, because the mean of its divisors is an integer number (12296850426).

Almost surely, 2^401388883104 is an apocalyptic number.

401388883104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401388883104 is an abundant number, since it is smaller than the sum of its proper divisors (779108757792).

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

401388883104 is a wasteful number, since it uses less digits than its factorization.

401388883104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10273118 (or 10273110 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 401388883104 in words is "four hundred one billion, three hundred eighty-eight million, eight hundred eighty-three thousand, one hundred four".