8800440000 has 560 divisors, whose sum is σ = 32565075840. Its totient is φ = 2078720000.

The previous prime is 8800439993. The next prime is 8800440013. The reversal of 8800440000 is 440088.

It is a super-3 number, since 3×8800440000³ (a number of 31 digits) contains 333 as substring.

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 a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77879944 + ... + 77880056.

Almost surely, 2^8800440000 is an apocalyptic number.

8800440000 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 8800440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282537920).

8800440000 is an abundant number, since it is smaller than the sum of its proper divisors (23764635840).

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

8800440000 is a wasteful number, since it uses less digits than its factorization.

8800440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

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

The square root of 8800440000 is about 93810.6603750341. The cubic root of 8800440000 is about 2064.5946396764.

Adding to 8800440000 its reverse (440088), we get a palindrome (8800880088).

The spelling of 8800440000 in words is "eight billion, eight hundred million, four hundred forty thousand".