40133104 has 40 divisors (see below), whose sum is σ = 86815872. Its totient is φ = 17814720.

The previous prime is 40133101. The next prime is 40133117.

40133104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40133104² = 3221332073349632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4917 + ... + 10219.

Almost surely, 2^40133104 is an apocalyptic number.

40133104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43407936).

40133104 is an abundant number, since it is smaller than the sum of its proper divisors (46682768).

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

40133104 is a wasteful number, since it uses less digits than its factorization.

40133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 40133104 is about 6335.0693761000. The cubic root of 40133104 is about 342.3741104104.

It can be divided in two parts, 4013 and 3104, that added together give a palindrome (7117).

The spelling of 40133104 in words is "forty million, one hundred thirty-three thousand, one hundred four".