1291317313440 has 576 divisors, whose sum is σ = 5176666091520. Its totient is φ = 267559004160.

The previous prime is 1291317313427. The next prime is 1291317313469. The reversal of 1291317313440 is 443137131921.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92873529 + ... + 92887431.

It is an arithmetic number, because the mean of its divisors is an integer number (8987267520).

Almost surely, 2^{1291317313440} is an apocalyptic number.

1291317313440 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 1291317313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588333045760).

1291317313440 is an abundant number, since it is smaller than the sum of its proper divisors (3885348778080).

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

1291317313440 is a wasteful number, since it uses less digits than its factorization.

1291317313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14305 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 1291317313440 in words is "one trillion, two hundred ninety-one billion, three hundred seventeen million, three hundred thirteen thousand, four hundred forty".