14042400 has 72 divisors (see below), whose sum is σ = 45715824. Its totient is φ = 3744000.

The previous prime is 14042393. The next prime is 14042401. The reversal of 14042400 is 424041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14042400.

It is not an unprimeable number, because it can be changed into a prime (14042401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526 + ... + 5325.

It is an arithmetic number, because the mean of its divisors is an integer number (634942).

Almost surely, 2^14042400 is an apocalyptic number.

14042400 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 14042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22857912).

14042400 is an abundant number, since it is smaller than the sum of its proper divisors (31673424).

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

14042400 is a wasteful number, since it uses less digits than its factorization.

14042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 14042400 is about 3747.3190416617. The cubic root of 14042400 is about 241.2572908031.

Adding to 14042400 its reverse (424041), we get a palindrome (14466441).

The spelling of 14042400 in words is "fourteen million, forty-two thousand, four hundred".