1319281960000 has 105 divisors (see below), whose sum is σ = 3271960224291. Its totient is φ = 527620896000.

The previous prime is 1319281959973. The next prime is 1319281960019. The reversal of 1319281960000 is 691829131.

The square root of 1319281960000 is 1148600.

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

It can be written as a sum of positive squares in 2 ways, for example, as 103431705664 + 1215850254336 = 321608^2 + 1102656^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 229717129 + ... + 229722871.

Almost surely, 2^{1319281960000} is an apocalyptic number.

1319281960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1319281960000 is the 1148600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319281960000

1319281960000 is an abundant number, since it is smaller than the sum of its proper divisors (1952678264291).

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

1319281960000 is an frugal number, since it uses more digits than its factorization.

1319281960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 1319281960000 in words is "one trillion, three hundred nineteen billion, two hundred eighty-one million, nine hundred sixty thousand".