14200434000 has 480 divisors, whose sum is σ = 52386647040. Its totient is φ = 3716928000.

The previous prime is 14200433983. The next prime is 14200434037. The reversal of 14200434000 is 43400241.

14200434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29645761 + ... + 29646239.

It is an arithmetic number, because the mean of its divisors is an integer number (109138848).

Almost surely, 2^14200434000 is an apocalyptic number.

14200434000 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 14200434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26193323520).

14200434000 is an abundant number, since it is smaller than the sum of its proper divisors (38186213040).

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

14200434000 is an equidigital number, since it uses as much as digits as its factorization.

14200434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 550 counting only the distinct ones).

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

Adding to 14200434000 its reverse (43400241), we get a palindrome (14243834241).

The spelling of 14200434000 in words is "fourteen billion, two hundred million, four hundred thirty-four thousand".