14242400000 has 216 divisors, whose sum is σ = 37444322160. Its totient is φ = 5391360000.

The previous prime is 14242399979. The next prime is 14242400027. The reversal of 14242400000 is 424241.

14242400000 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15199532 + ... + 15200468.

Almost surely, 2^14242400000 is an apocalyptic number.

14242400000 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 14242400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722161080).

14242400000 is an abundant number, since it is smaller than the sum of its proper divisors (23201922160).

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

14242400000 is an frugal number, since it uses more digits than its factorization.

14242400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 14242400000 its reverse (424241), we get a palindrome (14242824241).

The spelling of 14242400000 in words is "fourteen billion, two hundred forty-two million, four hundred thousand".