40131333313104 has 40 divisors (see below), whose sum is σ = 113097393883872. Its totient is φ = 12161010094720.

The previous prime is 40131333313087. The next prime is 40131333313121.

40131333313104 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40131333313087) and next prime (40131333313121).

It is a super-2 number, since 2×40131333313104² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38003156019 + ... + 38003157074.

Almost surely, 2^{40131333313104} is an apocalyptic number.

40131333313104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40131333313104 is an abundant number, since it is smaller than the sum of its proper divisors (72966060570768).

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

40131333313104 is a wasteful number, since it uses less digits than its factorization.

40131333313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76006313115 (or 76006313109 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 4013133 and 3313104, that added together give a palindrome (7326237).

The spelling of 40131333313104 in words is "forty trillion, one hundred thirty-one billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred four".