1993144320000 has 1200 divisors, whose sum is σ = 7554471170400. Its totient is φ = 525533184000.

The previous prime is 1993144319923. The next prime is 1993144320067. The reversal of 1993144320000 is 234413991.

1993144320000 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 1 + 443 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22394879956 + ... + 22394880044.

It is an arithmetic number, because the mean of its divisors is an integer number (6295392642).

Almost surely, 2^{1993144320000} is an apocalyptic number.

1993144320000 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 1993144320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777235585200).

1993144320000 is an abundant number, since it is smaller than the sum of its proper divisors (5561326850400).

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

1993144320000 is an frugal number, since it uses more digits than its factorization.

1993144320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 1993144320000 its reverse (234413991), we get a palindrome (1993378733991).

The spelling of 1993144320000 in words is "one trillion, nine hundred ninety-three billion, one hundred forty-four million, three hundred twenty thousand".