14340222400 has 252 divisors, whose sum is σ = 41476169016. Its totient is φ = 4865280000.

The previous prime is 14340222343. The next prime is 14340222401. The reversal of 14340222400 is 422204341.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340222401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7917495 + ... + 7919305.

Almost surely, 2^14340222400 is an apocalyptic number.

14340222400 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 14340222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738084508).

14340222400 is an abundant number, since it is smaller than the sum of its proper divisors (27135946616).

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

14340222400 is a wasteful number, since it uses less digits than its factorization.

14340222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 14340222400 its reverse (422204341), we get a palindrome (14762426741).

The spelling of 14340222400 in words is "fourteen billion, three hundred forty million, two hundred twenty-two thousand, four hundred".