14204424000 has 448 divisors, whose sum is σ = 51523879680. Its totient is φ = 3426508800.

The previous prime is 14204423953. The next prime is 14204424011. The reversal of 14204424000 is 42440241.

It is a super-2 number, since 2×14204424000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16535571 + ... + 16536429.

It is an arithmetic number, because the mean of its divisors is an integer number (115008660).

Almost surely, 2^14204424000 is an apocalyptic number.

14204424000 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 14204424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25761939840).

14204424000 is an abundant number, since it is smaller than the sum of its proper divisors (37319455680).

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

14204424000 is a wasteful number, since it uses less digits than its factorization.

14204424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 14204424000 its reverse (42440241), we get a palindrome (14246864241).

The spelling of 14204424000 in words is "fourteen billion, two hundred four million, four hundred twenty-four thousand".