40133111133104 has 40 divisors (see below), whose sum is σ = 85900560107520. Its totient is φ = 18011407752000.

The previous prime is 40133111133097. The next prime is 40133111133121.

40133111133104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40133111133104² (a number of 28 digits) contains 22 as substring.

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, 1443207872 + ... + 1443235679.

It is an arithmetic number, because the mean of its divisors is an integer number (2147514002688).

Almost surely, 2^{40133111133104} is an apocalyptic number.

40133111133104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40133111133104 is an abundant number, since it is smaller than the sum of its proper divisors (45767448974416).

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

40133111133104 is a wasteful number, since it uses less digits than its factorization.

40133111133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886443649 (or 2886443643 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 4013311 and 1133104, that added together give a palindrome (5146415).

The spelling of 40133111133104 in words is "forty trillion, one hundred thirty-three billion, one hundred eleven million, one hundred thirty-three thousand, one hundred four".