8444008804 has 96 divisors (see below), whose sum is σ = 19582617600. Its totient is φ = 3086242560.

The previous prime is 8444008763. The next prime is 8444008841. The reversal of 8444008804 is 4088004448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595752 + ... + 609760.

It is an arithmetic number, because the mean of its divisors is an integer number (203985600).

Almost surely, 2^8444008804 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 8444008804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9791308800).

8444008804 is an abundant number, since it is smaller than the sum of its proper divisors (11138608796).

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

8444008804 is a wasteful number, since it uses less digits than its factorization.

8444008804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14153 (or 14151 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 8444008804 is about 91891.2879657261. The cubic root of 8444008804 is about 2036.3365627032.

The spelling of 8444008804 in words is "eight billion, four hundred forty-four million, eight thousand, eight hundred four".