14131441324 has 144 divisors (see below), whose sum is σ = 33852833280. Its totient is φ = 5011269120.

The previous prime is 14131441297. The next prime is 14131441343. The reversal of 14131441324 is 42314413141.

14131441324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14131441292 and 14131441301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3797937 + ... + 3801655.

It is an arithmetic number, because the mean of its divisors is an integer number (235089120).

Almost surely, 2^14131441324 is an apocalyptic number.

14131441324 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 14131441324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926416640).

14131441324 is an abundant number, since it is smaller than the sum of its proper divisors (19721391956).

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

14131441324 is a wasteful number, since it uses less digits than its factorization.

14131441324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3825 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 14131441324 its reverse (42314413141), we get a palindrome (56445854465).

The spelling of 14131441324 in words is "fourteen billion, one hundred thirty-one million, four hundred forty-one thousand, three hundred twenty-four".