12413400431421 has 64 divisors (see below), whose sum is σ = 18642301009920. Its totient is φ = 7282046016000.

The previous prime is 12413400431363. The next prime is 12413400431491.

It is a happy number.

12413400431421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12413400431421 - 2⁶ = 12413400431357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413400431491) 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 63 ways as a sum of consecutive naturals, for example, 87561631 + ... + 87703283.

It is an arithmetic number, because the mean of its divisors is an integer number (291285953280).

Almost surely, 2^{12413400431421} is an apocalyptic number.

12413400431421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12413400431421 is a deficient number, since it is larger than the sum of its proper divisors (6228900578499).

12413400431421 is a wasteful number, since it uses less digits than its factorization.

12413400431421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142218.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 12413400 and 431421, that added together give a palindrome (12844821).

The spelling of 12413400431421 in words is "twelve trillion, four hundred thirteen billion, four hundred million, four hundred thirty-one thousand, four hundred twenty-one".