1944338762320 has 20 divisors (see below), whose sum is σ = 4520587622580. Its totient is φ = 777735504896.

The previous prime is 1944338762263. The next prime is 1944338762329. The reversal of 1944338762320 is 232678334491.

It can be written as a sum of positive squares in 2 ways, for example, as 579656867904 + 1364681894416 = 761352^2 + 1168196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1944338762329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12152117185 + ... + 12152117344.

It is an arithmetic number, because the mean of its divisors is an integer number (226029381129).

Almost surely, 2^{1944338762320} is an apocalyptic number.

1944338762320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1944338762320 is an abundant number, since it is smaller than the sum of its proper divisors (2576248860260).

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

1944338762320 is a wasteful number, since it uses less digits than its factorization.

1944338762320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24304234542 (or 24304234536 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 1944338762320 in words is "one trillion, nine hundred forty-four billion, three hundred thirty-eight million, seven hundred sixty-two thousand, three hundred twenty".