14018400 has 288 divisors, whose sum is σ = 56246400. Its totient is φ = 3340800.

The previous prime is 14018399. The next prime is 14018413. The reversal of 14018400 is 481041.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237571 + ... + 237629.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 2^14018400 is an apocalyptic number.

14018400 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 14018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

14018400 is an abundant number, since it is smaller than the sum of its proper divisors (42228000).

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

14018400 is a wasteful number, since it uses less digits than its factorization.

14018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14018400 is about 3744.1153828374. The cubic root of 14018400 is about 241.1197673789.

Adding to 14018400 its reverse (481041), we get a palindrome (14499441).

It can be divided in two parts, 1401 and 8400, that added together give a square (9801 = 99²).

The spelling of 14018400 in words is "fourteen million, eighteen thousand, four hundred".