14013134030240 has 96 divisors (see below), whose sum is σ = 33481039919040. Its totient is φ = 5541771147264.

The previous prime is 14013134030221. The next prime is 14013134030249. The reversal of 14013134030240 is 4203043131041.

It is a happy number.

14013134030240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14013134030249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183757559 + ... + 183833801.

It is an arithmetic number, because the mean of its divisors is an integer number (348760832490).

Almost surely, 2^{14013134030240} is an apocalyptic number.

14013134030240 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 14013134030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740519959520).

14013134030240 is an abundant number, since it is smaller than the sum of its proper divisors (19467905888800).

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

14013134030240 is a wasteful number, since it uses less digits than its factorization.

14013134030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89254 (or 89246 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 14013134030240 its reverse (4203043131041), we get a palindrome (18216177161281).

The spelling of 14013134030240 in words is "fourteen trillion, thirteen billion, one hundred thirty-four million, thirty thousand, two hundred forty".