12432824092441 has 27 divisors (see below), whose sum is σ = 13283590094463. Its totient is φ = 11634176809920.

The previous prime is 12432824092439. The next prime is 12432824092457. The reversal of 12432824092441 is 14429042823421.

It is a happy number.

The square root of 12432824092441 is 3526021.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9679534328025 + 2753289764416 = 3111195^2 + 1659304^2 .

It is not a de Polignac number, because 12432824092441 - 2¹ = 12432824092439 is a prime.

It is a super-2 number, since 2×12432824092441² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12432824092391 and 12432824092400.

It is not an unprimeable number, because it can be changed into a prime (12432824090441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12647836836 + ... + 12647837818.

Almost surely, 2^{12432824092441} is an apocalyptic number.

12432824092441 is the 3526021-st square number.

12432824092441 is the 1763011-st centered octagonal number.

It is an amenable number.

12432824092441 is a deficient number, since it is larger than the sum of its proper divisors (850766002022).

12432824092441 is an frugal number, since it uses more digits than its factorization.

12432824092441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 12432824092441 in words is "twelve trillion, four hundred thirty-two billion, eight hundred twenty-four million, ninety-two thousand, four hundred forty-one".