14223140430400 has 168 divisors, whose sum is σ = 38183485207680. Its totient is φ = 5171502336000.

The previous prime is 14223140430349. The next prime is 14223140430409. The reversal of 14223140430400 is 403404132241.

14223140430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14223140430409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189708121 + ... + 189783079.

Almost surely, 2^{14223140430400} is an apocalyptic number.

14223140430400 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 14223140430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19091742603840).

14223140430400 is an abundant number, since it is smaller than the sum of its proper divisors (23960344777280).

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

14223140430400 is a wasteful number, since it uses less digits than its factorization.

14223140430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85773 (or 85758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14223140430400 its reverse (403404132241), we get a palindrome (14626544562641).

The spelling of 14223140430400 in words is "fourteen trillion, two hundred twenty-three billion, one hundred forty million, four hundred thirty thousand, four hundred".