14221034424144 has 240 divisors, whose sum is σ = 43197877492224. Its totient is φ = 4520534832000.

The previous prime is 14221034424101. The next prime is 14221034424161. The reversal of 14221034424144 is 44142443012241.

14221034424144 is a `hidden beast` number, since 1 + 4 + 2 + 210 + 3 + 4 + 424 + 14 + 4 = 666.

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 = 14221034424099 and 14221034424108.

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 47 ways as a sum of consecutive naturals, for example, 29359119 + ... + 29839569.

Almost surely, 2^{14221034424144} 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 14221034424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21598938746112).

14221034424144 is an abundant number, since it is smaller than the sum of its proper divisors (28976843068080).

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

14221034424144 is a wasteful number, since it uses less digits than its factorization.

14221034424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480828 (or 480810 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14221034424144 its reverse (44142443012241), we get a palindrome (58363477436385).

The spelling of 14221034424144 in words is "fourteen trillion, two hundred twenty-one billion, thirty-four million, four hundred twenty-four thousand, one hundred forty-four".