1291343765376 has 768 divisors, whose sum is σ = 4249150272000. Its totient is φ = 340023951360.

The previous prime is 1291343765363. The next prime is 1291343765399. The reversal of 1291343765376 is 6735673431921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5639055630 + ... + 5639055858.

It is an arithmetic number, because the mean of its divisors is an integer number (5532747750).

Almost surely, 2^{1291343765376} is an apocalyptic number.

1291343765376 is a gapful number since it is divisible by the number (16) 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 1291343765376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124575136000).

1291343765376 is an abundant number, since it is smaller than the sum of its proper divisors (2957806506624).

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

1291343765376 is a wasteful number, since it uses less digits than its factorization.

1291343765376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 368 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 57.

The spelling of 1291343765376 in words is "one trillion, two hundred ninety-one billion, three hundred forty-three million, seven hundred sixty-five thousand, three hundred seventy-six".