12431334501441 has 12 divisors (see below), whose sum is σ = 19012629237732. Its totient is φ = 7800053020416.

The previous prime is 12431334501433. The next prime is 12431334501457. The reversal of 12431334501441 is 14410543313421.

12431334501441 is a `hidden beast` number, since 1 + 2 + 4 + 31 + 33 + 450 + 144 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5539244673600 + 6892089827841 = 2353560^2 + 2625279^2 .

It is not a de Polignac number, because 12431334501441 - 2³ = 12431334501433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12431334501396 and 12431334501405.

It is not an unprimeable number, because it can be changed into a prime (12431334502441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40625275996 + ... + 40625276301.

It is an arithmetic number, because the mean of its divisors is an integer number (1584385769811).

Almost surely, 2^{12431334501441} is an apocalyptic number.

It is an amenable number.

12431334501441 is a deficient number, since it is larger than the sum of its proper divisors (6581294736291).

12431334501441 is a wasteful number, since it uses less digits than its factorization.

12431334501441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81250552320 (or 81250552317 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12431334501441 its reverse (14410543313421), we get a palindrome (26841877814862).

The spelling of 12431334501441 in words is "twelve trillion, four hundred thirty-one billion, three hundred thirty-four million, five hundred one thousand, four hundred forty-one".