8000440008 has 96 divisors (see below), whose sum is σ = 21956127840. Its totient is φ = 2409256960.

The previous prime is 8000439973. The next prime is 8000440031.

8000440008 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8000440008.

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 23 ways as a sum of consecutive naturals, for example, 22663960 + ... + 22664312.

It is an arithmetic number, because the mean of its divisors is an integer number (228709665).

Almost surely, 2^8000440008 is an apocalyptic number.

8000440008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000440008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10978063920).

8000440008 is an abundant number, since it is smaller than the sum of its proper divisors (13955687832).

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

8000440008 is a wasteful number, since it uses less digits than its factorization.

8000440008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8000440008 is about 89445.1787856674. The cubic root of 8000440008 is about 2000.0366666611.

The spelling of 8000440008 in words is "eight billion, four hundred forty thousand, eight".