14224005120 has 192 divisors, whose sum is σ = 49007518560. Its totient is φ = 3501195264.

The previous prime is 14224005113. The next prime is 14224005149. The reversal of 14224005120 is 2150042241.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381552 + ... + 417168.

Almost surely, 2^14224005120 is an apocalyptic number.

14224005120 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 14224005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24503759280).

14224005120 is an abundant number, since it is smaller than the sum of its proper divisors (34783513440).

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

14224005120 is a wasteful number, since it uses less digits than its factorization.

14224005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35660 (or 35640 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 14224005120 its reverse (2150042241), we get a palindrome (16374047361).

The spelling of 14224005120 in words is "fourteen billion, two hundred twenty-four million, five thousand, one hundred twenty".