14242224924000 has 384 divisors, whose sum is σ = 51861522585600. Its totient is φ = 3796474406400.

The previous prime is 14242224923957. The next prime is 14242224924001. The reversal of 14242224924000 is 42942224241.

14242224924000 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 2 + 2 + 249 + 2 + 400 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242224924001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 298812171 + ... + 298859829.

It is an arithmetic number, because the mean of its divisors is an integer number (135056048400).

Almost surely, 2^{14242224924000} is an apocalyptic number.

14242224924000 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 14242224924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25930761292800).

14242224924000 is an abundant number, since it is smaller than the sum of its proper divisors (37619297661600).

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

14242224924000 is a wasteful number, since it uses less digits than its factorization.

14242224924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50460 (or 50436 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 14242224924000 in words is "fourteen trillion, two hundred forty-two billion, two hundred twenty-four million, nine hundred twenty-four thousand".