14130342240 has 96 divisors (see below), whose sum is σ = 50869244160. Its totient is φ = 3229791744.

The previous prime is 14130342229. The next prime is 14130342241. The reversal of 14130342240 is 4224303141.

14130342240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14130342240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130342241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2099370 + ... + 2106089.

It is an arithmetic number, because the mean of its divisors is an integer number (529887960).

Almost surely, 2^14130342240 is an apocalyptic number.

14130342240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14130342240 is an abundant number, since it is smaller than the sum of its proper divisors (36738901920).

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

14130342240 is a wasteful number, since it uses less digits than its factorization.

14130342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205484 (or 4205476 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14130342240 its reverse (4224303141), we get a palindrome (18354645381).

The spelling of 14130342240 in words is "fourteen billion, one hundred thirty million, three hundred forty-two thousand, two hundred forty".