14342400 has 216 divisors, whose sum is σ = 53225760. Its totient is φ = 3778560.

The previous prime is 14342389. The next prime is 14342411. The reversal of 14342400 is 424341.

It is an interprime number because it is at equal distance from previous prime (14342389) and next prime (14342411).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172759 + ... + 172841.

Almost surely, 2^14342400 is an apocalyptic number.

14342400 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 14342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26612880).

14342400 is an abundant number, since it is smaller than the sum of its proper divisors (38883360).

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

14342400 is an equidigital number, since it uses as much as digits as its factorization.

14342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

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

The square root of 14342400 is about 3787.1361211343. The cubic root of 14342400 is about 242.9632622407.

Adding to 14342400 its reverse (424341), we get a palindrome (14766741).

The spelling of 14342400 in words is "fourteen million, three hundred forty-two thousand, four hundred".