4134364300 has 216 divisors, whose sum is σ = 10597759200. Its totient is φ = 1393920000.

The previous prime is 4134364231. The next prime is 4134364309. The reversal of 4134364300 is 34634314.

It is a super-2 number, since 2×4134364300² = 34185936330228980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4134364309) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 20775601 + ... + 20775799.

It is an arithmetic number, because the mean of its divisors is an integer number (49063700).

Almost surely, 2^4134364300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134364300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298879600).

4134364300 is an abundant number, since it is smaller than the sum of its proper divisors (6463394900).

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

4134364300 is a wasteful number, since it uses less digits than its factorization.

4134364300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 4134364300 is about 64299.0225431149. The cubic root of 4134364300 is about 1604.9798362519.

Adding to 4134364300 its reverse (34634314), we get a palindrome (4168998614).

The spelling of 4134364300 in words is "four billion, one hundred thirty-four million, three hundred sixty-four thousand, three hundred".