14013141324 has 216 divisors, whose sum is σ = 41707310400. Its totient is φ = 3649097088.

The previous prime is 14013141257. The next prime is 14013141347. The reversal of 14013141324 is 42314131041.

14013141324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14013141294 and 14013141303.

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 71 ways as a sum of consecutive naturals, for example, 8247027 + ... + 8248725.

It is an arithmetic number, because the mean of its divisors is an integer number (193089400).

Almost surely, 2^14013141324 is an apocalyptic number.

14013141324 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 14013141324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20853655200).

14013141324 is an abundant number, since it is smaller than the sum of its proper divisors (27694169076).

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

14013141324 is a wasteful number, since it uses less digits than its factorization.

14013141324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14013141324 its reverse (42314131041), we get a palindrome (56327272365).

The spelling of 14013141324 in words is "fourteen billion, thirteen million, one hundred forty-one thousand, three hundred twenty-four".