4004788833 has 24 divisors (see below), whose sum is σ = 5893596800. Its totient is φ = 2619967680.

The previous prime is 4004788829. The next prime is 4004788849. The reversal of 4004788833 is 3388874004.

It is a happy number.

It is not a de Polignac number, because 4004788833 - 2² = 4004788829 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004788873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 115428 + ... + 146058.

Almost surely, 2^4004788833 is an apocalyptic number.

It is an amenable number.

4004788833 is a deficient number, since it is larger than the sum of its proper divisors (1888807967).

4004788833 is a wasteful number, since it uses less digits than its factorization.

4004788833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30909 (or 30906 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4004788833 is about 63283.4009278895. The cubic root of 4004788833 is about 1588.0342825443.

The spelling of 4004788833 in words is "four billion, four million, seven hundred eighty-eight thousand, eight hundred thirty-three".