14434204400 has 180 divisors, whose sum is σ = 44007841800. Its totient is φ = 4498905600.

The previous prime is 14434204349. The next prime is 14434204403. The reversal of 14434204400 is 440243441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14434204400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434204403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182126 + ... + 249074.

It is an arithmetic number, because the mean of its divisors is an integer number (244488010).

Almost surely, 2^14434204400 is an apocalyptic number.

14434204400 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 14434204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22003920900).

14434204400 is an abundant number, since it is smaller than the sum of its proper divisors (29573637400).

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

14434204400 is a wasteful number, since it uses less digits than its factorization.

14434204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66992 (or 66974 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 14434204400 its reverse (440243441), we get a palindrome (14874447841).

The spelling of 14434204400 in words is "fourteen billion, four hundred thirty-four million, two hundred four thousand, four hundred".