14434330214300 has 144 divisors (see below), whose sum is σ = 34880781987072. Its totient is φ = 5159583436800.

The previous prime is 14434330214281. The next prime is 14434330214341. The reversal of 14434330214300 is 341203343441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209174 + ... + 5377026.

It is an arithmetic number, because the mean of its divisors is an integer number (242227652688).

Almost surely, 2^{14434330214300} is an apocalyptic number.

14434330214300 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 14434330214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440390993536).

14434330214300 is an abundant number, since it is smaller than the sum of its proper divisors (20446451772772).

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

14434330214300 is a wasteful number, since it uses less digits than its factorization.

14434330214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167968 (or 5167961 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 14434330214300 its reverse (341203343441), we get a palindrome (14775533557741).

The spelling of 14434330214300 in words is "fourteen trillion, four hundred thirty-four billion, three hundred thirty million, two hundred fourteen thousand, three hundred".