12435440013 has 24 divisors (see below), whose sum is σ = 18141963840. Its totient is φ = 8207671680.

The previous prime is 12435440011. The next prime is 12435440029. The reversal of 12435440013 is 31004453421.

It is a happy number.

12435440013 is a `hidden beast` number, since 1 + 243 + 5 + 4 + 400 + 13 = 666.

12435440013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12435440013 - 2¹ = 12435440011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435440011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498328 + ... + 522686.

It is an arithmetic number, because the mean of its divisors is an integer number (755915160).

Almost surely, 2^12435440013 is an apocalyptic number.

It is an amenable number.

12435440013 is a deficient number, since it is larger than the sum of its proper divisors (5706523827).

12435440013 is a wasteful number, since it uses less digits than its factorization.

12435440013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24929 (or 24926 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12435440013 its reverse (31004453421), we get a palindrome (43439893434).

The spelling of 12435440013 in words is "twelve billion, four hundred thirty-five million, four hundred forty thousand, thirteen".