14190400 has 126 divisors (see below), whose sum is σ = 40842438. Its totient is φ = 4838400.

The previous prime is 14190361. The next prime is 14190403. The reversal of 14190400 is 409141.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 14077504 = 336^2 + 3752^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14190403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78310 + ... + 78490.

Almost surely, 2^14190400 is an apocalyptic number.

14190400 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 14190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20421219).

14190400 is an abundant number, since it is smaller than the sum of its proper divisors (26652038).

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

14190400 is a wasteful number, since it uses less digits than its factorization.

14190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 14190400 is about 3767.0147331806. The cubic root of 14190400 is about 242.1019082213.

Adding to 14190400 its reverse (409141), we get a palindrome (14599541).

The spelling of 14190400 in words is "fourteen million, one hundred ninety thousand, four hundred".