14440320 has 192 divisors, whose sum is σ = 52509600. Its totient is φ = 3649536.

The previous prime is 14440319. The next prime is 14440337. The reversal of 14440320 is 2304441.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14440293 and 14440302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132426 + ... + 132534.

Almost surely, 2^14440320 is an apocalyptic number.

14440320 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 14440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26254800).

14440320 is an abundant number, since it is smaller than the sum of its proper divisors (38069280).

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

14440320 is a wasteful number, since it uses less digits than its factorization.

14440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14440320 is about 3800.0421050299. The cubic root of 14440320 is about 243.5149370955.

Adding to 14440320 its reverse (2304441), we get a palindrome (16744761).

The spelling of 14440320 in words is "fourteen million, four hundred forty thousand, three hundred twenty".