14442006331200 has 168 divisors, whose sum is σ = 54150646722112. Its totient is φ = 3301030010880.

The previous prime is 14442006331147. The next prime is 14442006331217. The reversal of 14442006331200 is 213360024441.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 214877209 + ... + 214944408.

Almost surely, 2^{14442006331200} is an apocalyptic number.

14442006331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442006331200 is an abundant number, since it is smaller than the sum of its proper divisors (39708640390912).

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

14442006331200 is a wasteful number, since it uses less digits than its factorization.

14442006331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429821649 (or 429821634 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14442006331200 its reverse (213360024441), we get a palindrome (14655366355641).

The spelling of 14442006331200 in words is "fourteen trillion, four hundred forty-two billion, six million, three hundred thirty-one thousand, two hundred".