40441133114404 has 24 divisors (see below), whose sum is σ = 78848476172928. Its totient is φ = 17991219759840.

The previous prime is 40441133114401. The next prime is 40441133114467.

40441133114404 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 40441133114404.

It is not an unprimeable number, because it can be changed into a prime (40441133114401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9777834759 + ... + 9777838894.

It is an arithmetic number, because the mean of its divisors is an integer number (3285353173872).

Almost surely, 2^{40441133114404} is an apocalyptic number.

40441133114404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40441133114404 is a deficient number, since it is larger than the sum of its proper divisors (38407343058524).

40441133114404 is a wasteful number, since it uses less digits than its factorization.

40441133114404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19555673715 (or 19555673713 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 4044113 and 3114404, that added together give a palindrome (7158517).

The spelling of 40441133114404 in words is "forty trillion, four hundred forty-one billion, one hundred thirty-three million, one hundred fourteen thousand, four hundred four".