401444444104 has 16 divisors (see below), whose sum is σ = 821136363120. Its totient is φ = 182474747280.

The previous prime is 401444444053. The next prime is 401444444113.

It is a happy number.

401444444104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401444444104² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401444444104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2280934254 + ... + 2280934429.

It is an arithmetic number, because the mean of its divisors is an integer number (51321022695).

Almost surely, 2^401444444104 is an apocalyptic number.

401444444104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401444444104 is an abundant number, since it is smaller than the sum of its proper divisors (419691919016).

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

401444444104 is a wasteful number, since it uses less digits than its factorization.

401444444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561868700 (or 4561868696 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

It can be divided in two parts, 401444 and 444104, that added together give a palindrome (845548).

The spelling of 401444444104 in words is "four hundred one billion, four hundred forty-four million, four hundred forty-four thousand, one hundred four".