14414321424 has 80 divisors (see below), whose sum is σ = 39394304000. Its totient is φ = 4528960128.

The previous prime is 14414321423. The next prime is 14414321483. The reversal of 14414321424 is 42412341441.

It is a happy number.

It is a super-2 number, since 2×14414321424² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14414321391 and 14414321400.

It is not an unprimeable number, because it can be changed into a prime (14414321423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141777 + ... + 221199.

It is an arithmetic number, because the mean of its divisors is an integer number (492428800).

Almost surely, 2^14414321424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19697152000).

14414321424 is an abundant number, since it is smaller than the sum of its proper divisors (24979982576).

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

14414321424 is a wasteful number, since it uses less digits than its factorization.

14414321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79652 (or 79646 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 14414321424 its reverse (42412341441), we get a palindrome (56826662865).

The spelling of 14414321424 in words is "fourteen billion, four hundred fourteen million, three hundred twenty-one thousand, four hundred twenty-four".