4116332200 has 24 divisors (see below), whose sum is σ = 9570472830. Its totient is φ = 1646532800.

The previous prime is 4116332191. The next prime is 4116332203. The reversal of 4116332200 is 22336114.

It can be written as a sum of positive squares in 3 ways, for example, as 2815575844 + 1300756356 = 53062^2 + 36066^2 .

It is not an unprimeable number, because it can be changed into a prime (4116332203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10290631 + ... + 10291030.

Almost surely, 2^4116332200 is an apocalyptic number.

4116332200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4116332200 is an abundant number, since it is smaller than the sum of its proper divisors (5454140630).

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

4116332200 is a wasteful number, since it uses less digits than its factorization.

4116332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20581677 (or 20581668 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4116332200 is about 64158.6486765424. The cubic root of 4116332200 is about 1602.6430533889.

Adding to 4116332200 its reverse (22336114), we get a palindrome (4138668314).

The spelling of 4116332200 in words is "four billion, one hundred sixteen million, three hundred thirty-two thousand, two hundred".