14441221332324 has 72 divisors (see below), whose sum is σ = 37503436010040. Its totient is φ = 4682060554752.

The previous prime is 14441221332323. The next prime is 14441221332409. The reversal of 14441221332324 is 42323312214441.

14441221332324 is a `hidden beast` number, since 1 + 4 + 4 + 412 + 2 + 1 + 3 + 3 + 232 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 668453408100 + 13772767924224 = 817590^2 + 3711168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (14441221332323) 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 23 ways as a sum of consecutive naturals, for example, 2128882 + ... + 5780534.

It is an arithmetic number, because the mean of its divisors is an integer number (520881055695).

Almost surely, 2^{14441221332324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14441221332324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18751718005020).

14441221332324 is an abundant number, since it is smaller than the sum of its proper divisors (23062214677716).

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

14441221332324 is a wasteful number, since it uses less digits than its factorization.

14441221332324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654669 (or 3654664 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 14441221332324 its reverse (42323312214441), we get a palindrome (56764533546765).

The spelling of 14441221332324 in words is "fourteen trillion, four hundred forty-one billion, two hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty-four".