14433014214200 has 96 divisors (see below), whose sum is σ = 34079169864960. Its totient is φ = 5683437513600.

The previous prime is 14433014214191. The next prime is 14433014214221. The reversal of 14433014214200 is 241241033441.

14433014214200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 20871995 + ... + 21552405.

It is an arithmetic number, because the mean of its divisors is an integer number (354991352760).

Almost surely, 2^{14433014214200} is an apocalyptic number.

14433014214200 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 14433014214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17039584932480).

14433014214200 is an abundant number, since it is smaller than the sum of its proper divisors (19646155650760).

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

14433014214200 is a wasteful number, since it uses less digits than its factorization.

14433014214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682077 (or 682068 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 14433014214200 its reverse (241241033441), we get a palindrome (14674255247641).

The spelling of 14433014214200 in words is "fourteen trillion, four hundred thirty-three billion, fourteen million, two hundred fourteen thousand, two hundred".