14240002243104 has 288 divisors, whose sum is σ = 44847678710016. Its totient is φ = 4249613237760.

The previous prime is 14240002243087. The next prime is 14240002243127. The reversal of 14240002243104 is 40134220004241.

14240002243104 is a `hidden beast` number, since 1 + 4 + 2 + 400 + 0 + 2 + 243 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134926559 + ... + 1134939105.

It is an arithmetic number, because the mean of its divisors is an integer number (155721106632).

Almost surely, 2^{14240002243104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14240002243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22423839355008).

14240002243104 is an abundant number, since it is smaller than the sum of its proper divisors (30607676466912).

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

14240002243104 is a wasteful number, since it uses less digits than its factorization.

14240002243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17988 (or 17977 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14240002243104 its reverse (40134220004241), we get a palindrome (54374222247345).

The spelling of 14240002243104 in words is "fourteen trillion, two hundred forty billion, two million, two hundred forty-three thousand, one hundred four".