4230133600 has 288 divisors, whose sum is σ = 13182656256. Its totient is φ = 1287014400.

The previous prime is 4230133529. The next prime is 4230133639. The reversal of 4230133600 is 63310324.

4230133600 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 (22).

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, 2648002 + ... + 2649598.

It is an arithmetic number, because the mean of its divisors is an integer number (45773112).

Almost surely, 2^4230133600 is an apocalyptic number.

4230133600 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 4230133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591328128).

4230133600 is an abundant number, since it is smaller than the sum of its proper divisors (8952522656).

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

4230133600 is a wasteful number, since it uses less digits than its factorization.

4230133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 4230133600 is about 65039.4772426716. The cubic root of 4230133600 is about 1617.2780588074.

Adding to 4230133600 its reverse (63310324), we get a palindrome (4293443924).

The spelling of 4230133600 in words is "four billion, two hundred thirty million, one hundred thirty-three thousand, six hundred".