8440800000 has 216 divisors, whose sum is σ = 28087233552. Its totient is φ = 2250240000.

The previous prime is 8440799993. The next prime is 8440800037. The reversal of 8440800000 is 80448.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2398242 + ... + 2401758.

Almost surely, 2^8440800000 is an apocalyptic number.

8440800000 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 8440800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043616776).

8440800000 is an abundant number, since it is smaller than the sum of its proper divisors (19646433552).

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

8440800000 is an frugal number, since it uses more digits than its factorization.

8440800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3527 counting only the distinct ones).

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

The square root of 8440800000 is about 91873.8265231181. The cubic root of 8440800000 is about 2036.0785875746.

Adding to 8440800000 its reverse (80448), we get a palindrome (8440880448).

The spelling of 8440800000 in words is "eight billion, four hundred forty million, eight hundred thousand".