4009919904 has 336 divisors, whose sum is σ = 12725143200. Its totient is φ = 1239556608.

The previous prime is 4009919899. The next prime is 4009919939. The reversal of 4009919904 is 4099199004.

It is a self number, because there is not a number n which added to its sum of digits gives 4009919904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 36788202 + ... + 36788310.

It is an arithmetic number, because the mean of its divisors is an integer number (37872450).

Almost surely, 2^4009919904 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 4009919904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362571600).

4009919904 is an abundant number, since it is smaller than the sum of its proper divisors (8715223296).

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

4009919904 is a wasteful number, since it uses less digits than its factorization.

4009919904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 4009919904 is about 63323.9283683506. The cubic root of 4009919904 is about 1588.7122075238.

The spelling of 4009919904 in words is "four billion, nine million, nine hundred nineteen thousand, nine hundred four".