4004004090 has 32 divisors (see below), whose sum is σ = 9717589440. Its totient is φ = 1055736704.

The previous prime is 4004004089. The next prime is 4004004107. The reversal of 4004004090 is 904004004.

It is a happy number.

4004004090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 747144 + ... + 752483.

It is an arithmetic number, because the mean of its divisors is an integer number (303674670).

Almost surely, 2^4004004090 is an apocalyptic number.

4004004090 is an abundant number, since it is smaller than the sum of its proper divisors (5713585350).

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

4004004090 is a wasteful number, since it uses less digits than its factorization.

4004004090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499726.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4004004090 is about 63277.2003963513. The cubic root of 4004004090 is about 1587.9305500508.

Adding to 4004004090 its reverse (904004004), we get a palindrome (4908008094).

The spelling of 4004004090 in words is "four billion, four million, four thousand, ninety".