1982444800000 has 1152 divisors, whose sum is σ = 6357080620800. Its totient is φ = 601620480000.

The previous prime is 1982444799989. The next prime is 1982444800033. The reversal of 1982444800000 is 84442891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 14470399932 + ... + 14470400068.

It is an arithmetic number, because the mean of its divisors is an integer number (5518299150).

Almost surely, 2^{1982444800000} is an apocalyptic number.

1982444800000 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 1982444800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178540310400).

1982444800000 is an abundant number, since it is smaller than the sum of its proper divisors (4374635820800).

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

1982444800000 is an equidigital number, since it uses as much as digits as its factorization.

1982444800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 1982444800000 in words is "one trillion, nine hundred eighty-two billion, four hundred forty-four million, eight hundred thousand".