14342223331200 has 384 divisors, whose sum is σ = 48996930111840. Its totient is φ = 3684372480000.

The previous prime is 14342223331181. The next prime is 14342223331207. The reversal of 14342223331200 is 213332224341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14342223331207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35675310 + ... + 36075090.

Almost surely, 2^{14342223331200} is an apocalyptic number.

14342223331200 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 14342223331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498465055920).

14342223331200 is an abundant number, since it is smaller than the sum of its proper divisors (34654706780640).

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

14342223331200 is a wasteful number, since it uses less digits than its factorization.

14342223331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399946 (or 399929 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 14342223331200 its reverse (213332224341), we get a palindrome (14555555555541).

The spelling of 14342223331200 in words is "fourteen trillion, three hundred forty-two billion, two hundred twenty-three million, three hundred thirty-one thousand, two hundred".