14041424320 has 168 divisors, whose sum is σ = 42431543280. Its totient is φ = 4376494080.

The previous prime is 14041424273. The next prime is 14041424333. The reversal of 14041424320 is 2342414041.

It is a super-3 number, since 3×14041424320³ (a number of 31 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 23 ways as a sum of consecutive naturals, for example, 131776 + ... + 213184.

It is an arithmetic number, because the mean of its divisors is an integer number (252568710).

Almost surely, 2^14041424320 is an apocalyptic number.

14041424320 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 14041424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21215771640).

14041424320 is an abundant number, since it is smaller than the sum of its proper divisors (28390118960).

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

14041424320 is a wasteful number, since it uses less digits than its factorization.

14041424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81451 (or 81434 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14041424320 its reverse (2342414041), we get a palindrome (16383838361).

The spelling of 14041424320 in words is "fourteen billion, forty-one million, four hundred twenty-four thousand, three hundred twenty".