13412176424000 has 224 divisors, whose sum is σ = 33445324280160. Its totient is φ = 5327831040000.

The previous prime is 13412176423979. The next prime is 13412176424027. The reversal of 13412176424000 is 42467121431.

It can be written as a sum of positive squares in 16 ways, for example, as 3038829914176 + 10373346509824 = 1743224^2 + 3220768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734622872 + ... + 734641128.

Almost surely, 2^{13412176424000} is an apocalyptic number.

13412176424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412176424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722662140080).

13412176424000 is an abundant number, since it is smaller than the sum of its proper divisors (20033147856160).

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

13412176424000 is a wasteful number, since it uses less digits than its factorization.

13412176424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18914 (or 18894 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 13412176424000 in words is "thirteen trillion, four hundred twelve billion, one hundred seventy-six million, four hundred twenty-four thousand".