40441311314404 has 48 divisors (see below), whose sum is σ = 95022941279616. Its totient is φ = 14544327744000.

The previous prime is 40441311314381. The next prime is 40441311314431.

40441311314404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40441311314404² (a number of 28 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 40441311314404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5050109797 + ... + 5050117804.

It is an arithmetic number, because the mean of its divisors is an integer number (1979644609992).

Almost surely, 2^{40441311314404} is an apocalyptic number.

40441311314404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40441311314404 is an abundant number, since it is smaller than the sum of its proper divisors (54581629965212).

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

40441311314404 is a wasteful number, since it uses less digits than its factorization.

40441311314404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100227636 (or 10100227634 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, 4044131 and 1314404, that added together give a palindrome (5358535).

The spelling of 40441311314404 in words is "forty trillion, four hundred forty-one billion, three hundred eleven million, three hundred fourteen thousand, four hundred four".