4113200 has 120 divisors (see below), whose sum is σ = 12270048. Its totient is φ = 1290240.

The previous prime is 4113191. The next prime is 4113203. The reversal of 4113200 is 23114.

It is a happy number.

4113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4113203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36344 + ... + 36456.

Almost surely, 2^4113200 is an apocalyptic number.

4113200 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 4113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135024).

4113200 is an abundant number, since it is smaller than the sum of its proper divisors (8156848).

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

4113200 is a wasteful number, since it uses less digits than its factorization.

4113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4113200 is about 2028.1025615092. The cubic root of 4113200 is about 160.2236455793.

Adding to 4113200 its reverse (23114), we get a palindrome (4136314).

The spelling of 4113200 in words is "four million, one hundred thirteen thousand, two hundred".