1291432365760 has 112 divisors (see below), whose sum is σ = 3092293048320. Its totient is φ = 513713617920.

The previous prime is 1291432365757. The next prime is 1291432365787. The reversal of 1291432365760 is 675632341921.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42145645 + ... + 42176275.

It is an arithmetic number, because the mean of its divisors is an integer number (27609759360).

Almost surely, 2^{1291432365760} is an apocalyptic number.

1291432365760 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 1291432365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546146524160).

1291432365760 is an abundant number, since it is smaller than the sum of its proper divisors (1800860682560).

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

1291432365760 is a wasteful number, since it uses less digits than its factorization.

1291432365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31374 (or 31364 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 1291432365760 in words is "one trillion, two hundred ninety-one billion, four hundred thirty-two million, three hundred sixty-five thousand, seven hundred sixty".