8008000440000 has 560 divisors, whose sum is σ = 28967682374400. Its totient is φ = 1935659520000.

The previous prime is 8008000439977. The next prime is 8008000440007. The reversal of 8008000440000 is 440008008.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (8008000440007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 460671309 + ... + 460688691.

It is an arithmetic number, because the mean of its divisors is an integer number (51728004240).

Almost surely, 2^{8008000440000} is an apocalyptic number.

8008000440000 is a gapful number since it is divisible by the number (80) 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 8008000440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483841187200).

8008000440000 is an abundant number, since it is smaller than the sum of its proper divisors (20959681934400).

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

8008000440000 is a wasteful number, since it uses less digits than its factorization.

8008000440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17778 (or 17753 counting only the distinct ones).

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

Adding to 8008000440000 its reverse (440008008), we get a palindrome (8008440448008).

The spelling of 8008000440000 in words is "eight trillion, eight billion, four hundred forty thousand".