4661352200 has 96 divisors (see below), whose sum is σ = 11215234560. Its totient is φ = 1799884800.

The previous prime is 4661352193. The next prime is 4661352203. The reversal of 4661352200 is 22531664.

It is not an unprimeable number, because it can be changed into a prime (4661352203) 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, 3576749 + ... + 3578051.

It is an arithmetic number, because the mean of its divisors is an integer number (116825360).

Almost surely, 2^4661352200 is an apocalyptic number.

4661352200 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 4661352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607617280).

4661352200 is an abundant number, since it is smaller than the sum of its proper divisors (6553882360).

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

4661352200 is a wasteful number, since it uses less digits than its factorization.

4661352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 4661352200 is about 68274.0961126546. The cubic root of 4661352200 is about 1670.4647134410.

Adding to 4661352200 its reverse (22531664), we get a palindrome (4683883864).

The spelling of 4661352200 in words is "four billion, six hundred sixty-one million, three hundred fifty-two thousand, two hundred".