14004424000 has 448 divisors, whose sum is σ = 42177687552. Its totient is φ = 4502784000.

The previous prime is 14004423973. The next prime is 14004424013. The reversal of 14004424000 is 42440041.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×14004424000² (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, 106903935 + ... + 106904065.

It is an arithmetic number, because the mean of its divisors is an integer number (94146624).

Almost surely, 2^14004424000 is an apocalyptic number.

14004424000 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 14004424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21088843776).

14004424000 is an abundant number, since it is smaller than the sum of its proper divisors (28173263552).

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

14004424000 is a wasteful number, since it uses less digits than its factorization.

14004424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 14004424000 its reverse (42440041), we get a palindrome (14046864041).

The spelling of 14004424000 in words is "fourteen billion, four million, four hundred twenty-four thousand".