1944980128000 has 1152 divisors, whose sum is σ = 6246163123200. Its totient is φ = 599342284800.

The previous prime is 1944980127997. The next prime is 1944980128027. The reversal of 1944980128000 is 8210894491.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6135583842 + ... + 6135584158.

It is an arithmetic number, because the mean of its divisors is an integer number (5422016600).

Almost surely, 2^{1944980128000} is an apocalyptic number.

1944980128000 is a gapful number since it is divisible by the number (10) 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 1944980128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123081561600).

1944980128000 is an abundant number, since it is smaller than the sum of its proper divisors (4301182995200).

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

1944980128000 is an equidigital number, since it uses as much as digits as its factorization.

1944980128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 1944980128000 in words is "one trillion, nine hundred forty-four billion, nine hundred eighty million, one hundred twenty-eight thousand".