40120133102104 has 128 divisors (see below), whose sum is σ = 82591570944000. Its totient is φ = 18119615500800.

The previous prime is 40120133102099. The next prime is 40120133102113.

40120133102104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40120133102104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19447470177 + ... + 19447472239.

It is an arithmetic number, because the mean of its divisors is an integer number (645246648000).

Almost surely, 2^{40120133102104} is an apocalyptic number.

40120133102104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40120133102104 is an abundant number, since it is smaller than the sum of its proper divisors (42471437841896).

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

40120133102104 is a wasteful number, since it uses less digits than its factorization.

40120133102104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 4012013 and 3102104, that added together give a palindrome (7114117).

The spelling of 40120133102104 in words is "forty trillion, one hundred twenty billion, one hundred thirty-three million, one hundred two thousand, one hundred four".