4661216200 has 48 divisors (see below), whose sum is σ = 11101672260. Its totient is φ = 1819008000.

The previous prime is 4661216167. The next prime is 4661216227. The reversal of 4661216200 is 26121664.

It can be written as a sum of positive squares in 6 ways, for example, as 102535876 + 4558680324 = 10126^2 + 67518^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276021 + ... + 292420.

Almost surely, 2^4661216200 is an apocalyptic number.

4661216200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4661216200 is an abundant number, since it is smaller than the sum of its proper divisors (6440456060).

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

4661216200 is a wasteful number, since it uses less digits than its factorization.

4661216200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568498 (or 568489 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4661216200 is about 68273.1001200326. The cubic root of 4661216200 is about 1670.4484674105.

Adding to 4661216200 its reverse (26121664), we get a palindrome (4687337864).

The spelling of 4661216200 in words is "four billion, six hundred sixty-one million, two hundred sixteen thousand, two hundred".