14143200240 has 480 divisors, whose sum is σ = 51669817920. Its totient is φ = 3177086976.

The previous prime is 14143200209. The next prime is 14143200257. The reversal of 14143200240 is 4200234141.

It is a super-2 number, since 2×14143200240² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32663064 + ... + 32663496.

It is an arithmetic number, because the mean of its divisors is an integer number (107645454).

Almost surely, 2^14143200240 is an apocalyptic number.

14143200240 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 14143200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25834908960).

14143200240 is an abundant number, since it is smaller than the sum of its proper divisors (37526617680).

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

14143200240 is a wasteful number, since it uses less digits than its factorization.

14143200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14143200240 its reverse (4200234141), we get a palindrome (18343434381).

The spelling of 14143200240 in words is "fourteen billion, one hundred forty-three million, two hundred thousand, two hundred forty".