14022400 has 108 divisors (see below), whose sum is σ = 39792592. Its totient is φ = 4792320.

The previous prime is 14022391. The next prime is 14022413. The reversal of 14022400 is 422041.

14022400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44644 + ... + 44956.

Almost surely, 2^14022400 is an apocalyptic number.

14022400 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 14022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896296).

14022400 is an abundant number, since it is smaller than the sum of its proper divisors (25770192).

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

14022400 is an equidigital number, since it uses as much as digits as its factorization.

14022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 14022400 is about 3744.6495163099. The cubic root of 14022400 is about 241.1426988440.

Adding to 14022400 its reverse (422041), we get a palindrome (14444441).

The spelling of 14022400 in words is "fourteen million, twenty-two thousand, four hundred".