1291060592640 has 1080 divisors, whose sum is σ = 5608760157000. Its totient is φ = 272300507136.

The previous prime is 1291060592587. The next prime is 1291060592669. The reversal of 1291060592640 is 462950601921.

1291060592640 is a `hidden beast` number, since 1 + 2 + 9 + 10 + 6 + 0 + 592 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10433396736 + 1280627195904 = 102144^2 + 1131648^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469645986 + ... + 469648734.

Almost surely, 2^{1291060592640} is an apocalyptic number.

1291060592640 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 1291060592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804380078500).

1291060592640 is an abundant number, since it is smaller than the sum of its proper divisors (4317699564360).

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

1291060592640 is a wasteful number, since it uses less digits than its factorization.

1291060592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1291060592640 in words is "one trillion, two hundred ninety-one billion, sixty million, five hundred ninety-two thousand, six hundred forty".