8444884800000 has 1920 divisors, whose sum is σ = 32480217133056. Its totient is φ = 1931264000000.

The previous prime is 8444884799993. The next prime is 8444884800013. The reversal of 8444884800000 is 84884448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101745599959 + ... + 101745600041.

Almost surely, 2^{8444884800000} is an apocalyptic number.

8444884800000 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 8444884800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240108566528).

8444884800000 is an abundant number, since it is smaller than the sum of its proper divisors (24035332333056).

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

8444884800000 is an equidigital number, since it uses as much as digits as its factorization.

8444884800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 8444884800000 in words is "eight trillion, four hundred forty-four billion, eight hundred eighty-four million, eight hundred thousand".