4342114200 has 384 divisors, whose sum is σ = 14613350400. Its totient is φ = 1064448000.

The previous prime is 4342114187. The next prime is 4342114219. The reversal of 4342114200 is 24112434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48787756 + ... + 48787844.

It is an arithmetic number, because the mean of its divisors is an integer number (38055600).

Almost surely, 2^4342114200 is an apocalyptic number.

4342114200 is a gapful number since it is divisible by the number (40) 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 4342114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7306675200).

4342114200 is an abundant number, since it is smaller than the sum of its proper divisors (10271236200).

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

4342114200 is a wasteful number, since it uses less digits than its factorization.

4342114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4342114200 is about 65894.7205776001. The cubic root of 4342114200 is about 1631.4248772456.

Adding to 4342114200 its reverse (24112434), we get a palindrome (4366226634).

The spelling of 4342114200 in words is "four billion, three hundred forty-two million, one hundred fourteen thousand, two hundred".