8044489728000 has 1344 divisors, whose sum is σ = 32820711356160. Its totient is φ = 1949515776000.

The previous prime is 8044489727999. The next prime is 8044489728013. The reversal of 8044489728000 is 8279844408.

8044489728000 is a `hidden beast` number, since 80 + 4 + 4 + 489 + 7 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2737150531 + ... + 2737153469.

It is an arithmetic number, because the mean of its divisors is an integer number (24420172140).

Almost surely, 2^{8044489728000} is an apocalyptic number.

8044489728000 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 8044489728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410355678080).

8044489728000 is an abundant number, since it is smaller than the sum of its proper divisors (24776221628160).

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

8044489728000 is an equidigital number, since it uses as much as digits as its factorization.

8044489728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 8044489728000 in words is "eight trillion, forty-four billion, four hundred eighty-nine million, seven hundred twenty-eight thousand".