4130223200 has 144 divisors (see below), whose sum is σ = 10301528160. Its totient is φ = 1616670720.

The previous prime is 4130223179. The next prime is 4130223221. The reversal of 4130223200 is 23220314.

It is an interprime number because it is at equal distance from previous prime (4130223179) and next prime (4130223221).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11504621 + ... + 11504979.

It is an arithmetic number, because the mean of its divisors is an integer number (71538390).

Almost surely, 2^4130223200 is an apocalyptic number.

4130223200 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 4130223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150764080).

4130223200 is an abundant number, since it is smaller than the sum of its proper divisors (6171304960).

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

4130223200 is a wasteful number, since it uses less digits than its factorization.

4130223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4130223200 is about 64266.8125862797. The cubic root of 4130223200 is about 1604.4437923506.

Adding to 4130223200 its reverse (23220314), we get a palindrome (4153443514).

The spelling of 4130223200 in words is "four billion, one hundred thirty million, two hundred twenty-three thousand, two hundred".