4044133100 has 72 divisors (see below), whose sum is σ = 10046211168. Its totient is φ = 1384243200.

The previous prime is 4044133099. The next prime is 4044133129. The reversal of 4044133100 is 13314404.

It is a happy number.

It is a super-2 number, since 2×4044133100² = 32710025061031220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444194 + ... + 453206.

Almost surely, 2^4044133100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023105584).

4044133100 is an abundant number, since it is smaller than the sum of its proper divisors (6002078068).

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

4044133100 is a wasteful number, since it uses less digits than its factorization.

4044133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9675 (or 9668 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4044133100 is about 63593.4988815681. The cubic root of 4044133100 is about 1593.2177890260.

Adding to 4044133100 its reverse (13314404), we get a palindrome (4057447504).

The spelling of 4044133100 in words is "four billion, forty-four million, one hundred thirty-three thousand, one hundred".