13412334414432 has 48 divisors (see below), whose sum is σ = 36026154077760. Its totient is φ = 4366806552192.

The previous prime is 13412334414287. The next prime is 13412334414449. The reversal of 13412334414432 is 23441443321431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1624551882 + ... + 1624560137.

It is an arithmetic number, because the mean of its divisors is an integer number (750544876620).

Almost surely, 2^{13412334414432} is an apocalyptic number.

13412334414432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13412334414432 is an abundant number, since it is smaller than the sum of its proper divisors (22613819663328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13412334414432 is a wasteful number, since it uses less digits than its factorization.

13412334414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249112075 (or 3249112067 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

Adding to 13412334414432 its reverse (23441443321431), we get a palindrome (36853777735863).

The spelling of 13412334414432 in words is "thirteen trillion, four hundred twelve billion, three hundred thirty-four million, four hundred fourteen thousand, four hundred thirty-two".