8004908440 has 64 divisors (see below), whose sum is σ = 18478303200. Its totient is φ = 3119956992.

The previous prime is 8004908393. The next prime is 8004908459. The reversal of 8004908440 is 448094008.

It is a self number, because there is not a number n which added to its sum of digits gives 8004908440.

It is a congruent 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, 225846 + ... + 258874.

Almost surely, 2^8004908440 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 8004908440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239151600).

8004908440 is an abundant number, since it is smaller than the sum of its proper divisors (10473394760).

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

8004908440 is a wasteful number, since it uses less digits than its factorization.

8004908440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33196 (or 33192 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 8004908440 is about 89470.1539062049. The cubic root of 8004908440 is about 2000.4089530397.

The spelling of 8004908440 in words is "eight billion, four million, nine hundred eight thousand, four hundred forty".