8004408440 has 32 divisors (see below), whose sum is σ = 20582765280. Its totient is φ = 2744368512.

The previous prime is 8004408427. The next prime is 8004408479. The reversal of 8004408440 is 448044008.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8004408397 and 8004408406.

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 7 ways as a sum of consecutive naturals, for example, 14293307 + ... + 14293866.

It is an arithmetic number, because the mean of its divisors is an integer number (643211415).

Almost surely, 2^8004408440 is an apocalyptic number.

It is an amenable number.

8004408440 is an abundant number, since it is smaller than the sum of its proper divisors (12578356840).

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

8004408440 is a wasteful number, since it uses less digits than its factorization.

8004408440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28587191 (or 28587187 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8004408440 is about 89467.3596346735. The cubic root of 8004408440 is about 2000.3673025403.

The spelling of 8004408440 in words is "eight billion, four million, four hundred eight thousand, four hundred forty".