4004099904 has 112 divisors (see below), whose sum is σ = 12122310528. Its totient is φ = 1142642688.

The previous prime is 4004099887. The next prime is 4004099917. The reversal of 4004099904 is 4099904004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 1715122 + ... + 1717454.

Almost surely, 2^4004099904 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 4004099904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061155264).

4004099904 is an abundant number, since it is smaller than the sum of its proper divisors (8118210624).

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

4004099904 is a wasteful number, since it uses less digits than its factorization.

4004099904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 4004099904 is about 63277.9574891605. The cubic root of 4004099904 is about 1587.9432161022.

The spelling of 4004099904 in words is "four billion, four million, ninety-nine thousand, nine hundred four".