14344240422240 has 144 divisors (see below), whose sum is σ = 48951633957408. Its totient is φ = 3824981250048.

The previous prime is 14344240422223. The next prime is 14344240422251. The reversal of 14344240422240 is 4222404244341.

14344240422240 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 4 + 2 + 404 + 2 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14344240422195 and 14344240422204.

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 23 ways as a sum of consecutive naturals, for example, 39457944 + ... + 39819816.

It is an arithmetic number, because the mean of its divisors is an integer number (339941902482).

Almost surely, 2^{14344240422240} is an apocalyptic number.

14344240422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14344240422240 is an abundant number, since it is smaller than the sum of its proper divisors (34607393535168).

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

14344240422240 is a wasteful number, since it uses less digits than its factorization.

14344240422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389421 (or 389410 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 14344240422240 its reverse (4222404244341), we get a palindrome (18566644666581).

The spelling of 14344240422240 in words is "fourteen trillion, three hundred forty-four billion, two hundred forty million, four hundred twenty-two thousand, two hundred forty".