14413441233324 has 192 divisors, whose sum is σ = 39838364762112. Its totient is φ = 3968977536000.

The previous prime is 14413441233281. The next prime is 14413441233337. The reversal of 14413441233324 is 42333214431441.

14413441233324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 671412439 + ... + 671433905.

It is an arithmetic number, because the mean of its divisors is an integer number (207491483136).

Almost surely, 2^{14413441233324} is an apocalyptic number.

14413441233324 is a gapful number since it is divisible by the number (14) 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 14413441233324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19919182381056).

14413441233324 is an abundant number, since it is smaller than the sum of its proper divisors (25424923528788).

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

14413441233324 is a wasteful number, since it uses less digits than its factorization.

14413441233324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22556 (or 22554 counting only the distinct ones).

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

Adding to 14413441233324 its reverse (42333214431441), we get a palindrome (56746655664765).

The spelling of 14413441233324 in words is "fourteen trillion, four hundred thirteen billion, four hundred forty-one million, two hundred thirty-three thousand, three hundred twenty-four".