14240206681344 has 864 divisors, whose sum is σ = 53002802442240. Its totient is φ = 3686801412096.

The previous prime is 14240206681331. The next prime is 14240206681369. The reversal of 14240206681344 is 44318660204241.

It is a happy number.

14240206681344 is a `hidden beast` number, since 1 + 4 + 2 + 40 + 206 + 68 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 14240206681344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401714629 + ... + 401750075.

It is an arithmetic number, because the mean of its divisors is an integer number (61345836160).

Almost surely, 2^{14240206681344} is an apocalyptic number.

14240206681344 is a gapful number since it is divisible by the number (14) 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 14240206681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26501401221120).

14240206681344 is an abundant number, since it is smaller than the sum of its proper divisors (38762595760896).

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

14240206681344 is a wasteful number, since it uses less digits than its factorization.

14240206681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35540 (or 35501 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

Adding to 14240206681344 its reverse (44318660204241), we get a palindrome (58558866885585).

The spelling of 14240206681344 in words is "fourteen trillion, two hundred forty billion, two hundred six million, six hundred eighty-one thousand, three hundred forty-four".