1932001920000 has 330 divisors, whose sum is σ = 6971056358838. Its totient is φ = 515198976000.

The previous prime is 1932001919993. The next prime is 1932001920047. The reversal of 1932001920000 is 291002391.

It can be written as a sum of positive squares in 5 ways, for example, as 1044909195264 + 887092724736 = 1022208^2 + 941856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5592292 + ... + 5927708.

Almost surely, 2^{1932001920000} is an apocalyptic number.

1932001920000 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 1932001920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485528179419).

1932001920000 is an abundant number, since it is smaller than the sum of its proper divisors (5039054438838).

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

1932001920000 is an equidigital number, since it uses as much as digits as its factorization.

1932001920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335463 (or 335427 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 1932001920000 its reverse (291002391), we get a palindrome (1932292922391).

The spelling of 1932001920000 in words is "one trillion, nine hundred thirty-two billion, one million, nine hundred twenty thousand".