14224144422000 has 320 divisors, whose sum is σ = 46707024559104. Its totient is φ = 3723515827200.

The previous prime is 14224144421933. The next prime is 14224144422011. The reversal of 14224144422000 is 22444142241.

14224144422000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78095037 + ... + 78276963.

Almost surely, 2^{14224144422000} is an apocalyptic number.

14224144422000 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 14224144422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353512279552).

14224144422000 is an abundant number, since it is smaller than the sum of its proper divisors (32482880137104).

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

14224144422000 is a wasteful number, since it uses less digits than its factorization.

14224144422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182193 (or 182177 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14224144422000 its reverse (22444142241), we get a palindrome (14246588564241).

The spelling of 14224144422000 in words is "fourteen trillion, two hundred twenty-four billion, one hundred forty-four million, four hundred twenty-two thousand".