14311130240 has 128 divisors (see below), whose sum is σ = 37835406720. Its totient is φ = 5132574720.

The previous prime is 14311130189. The next prime is 14311130243. The reversal of 14311130240 is 4203111341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14311130243) 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, 499997 + ... + 527843.

It is an arithmetic number, because the mean of its divisors is an integer number (295589115).

Almost surely, 2^14311130240 is an apocalyptic number.

14311130240 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 14311130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917703360).

14311130240 is an abundant number, since it is smaller than the sum of its proper divisors (23524276480).

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

14311130240 is a wasteful number, since it uses less digits than its factorization.

14311130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27950 (or 27938 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14311130240 its reverse (4203111341), we get a palindrome (18514241581).

The spelling of 14311130240 in words is "fourteen billion, three hundred eleven million, one hundred thirty thousand, two hundred forty".