14242032240 has 240 divisors, whose sum is σ = 46867687776. Its totient is φ = 3575398400.

The previous prime is 14242032223. The next prime is 14242032257. The reversal of 14242032240 is 4223024241.

It is an interprime number because it is at equal distance from previous prime (14242032223) and next prime (14242032257).

It is a tau number, because it is divible by the number of its divisors (240).

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 14242032240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8274580 + ... + 8276300.

Almost surely, 2^14242032240 is an apocalyptic number.

14242032240 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 14242032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23433843888).

14242032240 is an abundant number, since it is smaller than the sum of its proper divisors (32625655536).

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

14242032240 is a wasteful number, since it uses less digits than its factorization.

14242032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14242032240 its reverse (4223024241), we get a palindrome (18465056481).

The spelling of 14242032240 in words is "fourteen billion, two hundred forty-two million, thirty-two thousand, two hundred forty".