1331383688960 has 288 divisors, whose sum is σ = 3460526012160. Its totient is φ = 487864664064.

The previous prime is 1331383688939. The next prime is 1331383688963. The reversal of 1331383688960 is 698863831331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1331383688960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331383688963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851715481 + ... + 1851716199.

It is an arithmetic number, because the mean of its divisors is an integer number (12015715320).

Almost surely, 2^{1331383688960} is an apocalyptic number.

1331383688960 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 1331383688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730263006080).

1331383688960 is an abundant number, since it is smaller than the sum of its proper divisors (2129142323200).

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

1331383688960 is a wasteful number, since it uses less digits than its factorization.

1331383688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 59.

The spelling of 1331383688960 in words is "one trillion, three hundred thirty-one billion, three hundred eighty-three million, six hundred eighty-eight thousand, nine hundred sixty".