12590441743761 has 36 divisors (see below), whose sum is σ = 22268808541200. Its totient is φ = 6815878232688.

The previous prime is 12590441743741. The next prime is 12590441743801. The reversal of 12590441743761 is 16734714409521.

12590441743761 is a `hidden beast` number, since 1 + 2 + 5 + 90 + 441 + 7 + 43 + 76 + 1 = 666.

It is not a de Polignac number, because 12590441743761 - 2²² = 12590437549457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12590441743698 and 12590441743707.

It is not an unprimeable number, because it can be changed into a prime (12590441743721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 751300951 + ... + 751317708.

Almost surely, 2^{12590441743761} is an apocalyptic number.

It is an amenable number.

12590441743761 is a deficient number, since it is larger than the sum of its proper divisors (9678366797439).

12590441743761 is a wasteful number, since it uses less digits than its factorization.

12590441743761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502618698 (or 1502618688 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12590441743761 in words is "twelve trillion, five hundred ninety billion, four hundred forty-one million, seven hundred forty-three thousand, seven hundred sixty-one".