1963361440000 has 405 divisors, whose sum is σ = 5105498927529. Its totient is φ = 753285120000.

The previous prime is 1963361439983. The next prime is 1963361440043. The reversal of 1963361440000 is 441633691.

The square root of 1963361440000 is 1401200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1919133667584 + 44227772416 = 1385328^2 + 210304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17374879944 + ... + 17374880056.

Almost surely, 2^{1963361440000} is an apocalyptic number.

1963361440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1963361440000 is the 1401200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1963361440000

1963361440000 is an abundant number, since it is smaller than the sum of its proper divisors (3142137487529).

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

1963361440000 is an frugal number, since it uses more digits than its factorization.

1963361440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 1963361440000 in words is "one trillion, nine hundred sixty-three billion, three hundred sixty-one million, four hundred forty thousand".