40133544533104 has 60 divisors (see below), whose sum is σ = 87288871717152. Its totient is φ = 17854381473280.

The previous prime is 40133544533041. The next prime is 40133544533171.

40133544533104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40133544533104² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220442377 + ... + 220624360.

Almost surely, 2^{40133544533104} is an apocalyptic number.

40133544533104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40133544533104 is an abundant number, since it is smaller than the sum of its proper divisors (47155327184048).

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

40133544533104 is a wasteful number, since it uses less digits than its factorization.

40133544533104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441066814 (or 441066797 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

It can be divided in two parts, 4013354 and 4533104, that added together give a palindrome (8546458).

The spelling of 40133544533104 in words is "forty trillion, one hundred thirty-three billion, five hundred forty-four million, five hundred thirty-three thousand, one hundred four".