14434113224000 has 224 divisors, whose sum is σ = 36638693604864. Its totient is φ = 5630361139200.

The previous prime is 14434113223969. The next prime is 14434113224033. The reversal of 14434113224000 is 42231143441.

It is a super-3 number, since 3×14434113224000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104082707 + ... + 104221293.

Almost surely, 2^{14434113224000} is an apocalyptic number.

14434113224000 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 14434113224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319346802432).

14434113224000 is an abundant number, since it is smaller than the sum of its proper divisors (22204580380864).

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

14434113224000 is a wasteful number, since it uses less digits than its factorization.

14434113224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138938 (or 138918 counting only the distinct ones).

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

Adding to 14434113224000 its reverse (42231143441), we get a palindrome (14476344367441).

The spelling of 14434113224000 in words is "fourteen trillion, four hundred thirty-four billion, one hundred thirteen million, two hundred twenty-four thousand".