14324135121440 has 96 divisors (see below), whose sum is σ = 34028311403520. Its totient is φ = 5697919180800.

The previous prime is 14324135121431. The next prime is 14324135121487. The reversal of 14324135121440 is 4412153142341.

It is a self number, because there is not a number n which added to its sum of digits gives 14324135121440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102642431 + ... + 102781889.

It is an arithmetic number, because the mean of its divisors is an integer number (354461577120).

Almost surely, 2^{14324135121440} is an apocalyptic number.

14324135121440 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 14324135121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014155701760).

14324135121440 is an abundant number, since it is smaller than the sum of its proper divisors (19704176282080).

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

14324135121440 is a wasteful number, since it uses less digits than its factorization.

14324135121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143026 (or 143018 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 14324135121440 its reverse (4412153142341), we get a palindrome (18736288263781).

The spelling of 14324135121440 in words is "fourteen trillion, three hundred twenty-four billion, one hundred thirty-five million, one hundred twenty-one thousand, four hundred forty".