8044400000 has 576 divisors, whose sum is σ = 26247382560. Its totient is φ = 2396160000.

The previous prime is 8044399999. The next prime is 8044400027. The reversal of 8044400000 is 44408.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 473199992 + ... + 473200008.

Almost surely, 2^8044400000 is an apocalyptic number.

8044400000 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 8044400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123691280).

8044400000 is an abundant number, since it is smaller than the sum of its proper divisors (18202982560).

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

8044400000 is an equidigital number, since it uses as much as digits as its factorization.

8044400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 8044400000 is about 89690.5792154338. The cubic root of 8044400000 is about 2003.6931760276.

Adding to 8044400000 its reverse (44408), we get a palindrome (8044444408).

The spelling of 8044400000 in words is "eight billion, forty-four million, four hundred thousand".