14002430240 has 96 divisors (see below), whose sum is σ = 33535192320. Its totient is φ = 5524568064.

The previous prime is 14002430237. The next prime is 14002430243. The reversal of 14002430240 is 4203420041.

It is an interprime number because it is at equal distance from previous prime (14002430237) and next prime (14002430243).

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 (14002430243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3571001 + ... + 3574919.

It is an arithmetic number, because the mean of its divisors is an integer number (349324920).

Almost surely, 2^14002430240 is an apocalyptic number.

14002430240 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 14002430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767596160).

14002430240 is an abundant number, since it is smaller than the sum of its proper divisors (19532762080).

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

14002430240 is a wasteful number, since it uses less digits than its factorization.

14002430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14002430240 its reverse (4203420041), we get a palindrome (18205850281).

The spelling of 14002430240 in words is "fourteen billion, two million, four hundred thirty thousand, two hundred forty".