40113433431104 has 112 divisors (see below), whose sum is σ = 90717618733056. Its totient is φ = 17432611699200.

The previous prime is 40113433431067. The next prime is 40113433431151.

40113433431104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40113433431104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 9261152 + ... + 12883935.

It is an arithmetic number, because the mean of its divisors is an integer number (809978738688).

Almost surely, 2^{40113433431104} is an apocalyptic number.

40113433431104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40113433431104 is an abundant number, since it is smaller than the sum of its proper divisors (50604185301952).

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

40113433431104 is a wasteful number, since it uses less digits than its factorization.

40113433431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22145224 (or 22145214 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 4011343 and 3431104, that added together give a palindrome (7442447).

The spelling of 40113433431104 in words is "forty trillion, one hundred thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, one hundred four".