4230145200 has 120 divisors (see below), whose sum is σ = 13637481808. Its totient is φ = 1120803840.

The previous prime is 4230145181. The next prime is 4230145201. The reversal of 4230145200 is 25410324.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4230145201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177174 + ... + 199626.

Almost surely, 2^4230145200 is an apocalyptic number.

4230145200 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 4230145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818740904).

4230145200 is an abundant number, since it is smaller than the sum of its proper divisors (9407336608).

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

4230145200 is a wasteful number, since it uses less digits than its factorization.

4230145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22631 (or 22620 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4230145200 is about 65039.5664192190. The cubic root of 4230145200 is about 1617.2795371223.

Adding to 4230145200 its reverse (25410324), we get a palindrome (4255555524).

The spelling of 4230145200 in words is "four billion, two hundred thirty million, one hundred forty-five thousand, two hundred".