1291450064416 has 144 divisors (see below), whose sum is σ = 2733382297800. Its totient is φ = 600467374080.

The previous prime is 1291450064393. The next prime is 1291450064441. The reversal of 1291450064416 is 6144600541921.

It can be written as a sum of positive squares in 12 ways, for example, as 237172896016 + 1054277168400 = 487004^2 + 1026780^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364711606 + ... + 364715146.

Almost surely, 2^{1291450064416} is an apocalyptic number.

1291450064416 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 1291450064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366691148900).

1291450064416 is an abundant number, since it is smaller than the sum of its proper divisors (1441932233384).

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

1291450064416 is a wasteful number, since it uses less digits than its factorization.

1291450064416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 1291450064416 in words is "one trillion, two hundred ninety-one billion, four hundred fifty million, sixty-four thousand, four hundred sixteen".