4861091200 has 384 divisors, whose sum is σ = 14449075200. Its totient is φ = 1581465600.

The previous prime is 4861091173. The next prime is 4861091201. The reversal of 4861091200 is 21901684.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861091201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61532761 + ... + 61532839.

It is an arithmetic number, because the mean of its divisors is an integer number (37627800).

Almost surely, 2^4861091200 is an apocalyptic number.

4861091200 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 4861091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224537600).

4861091200 is an abundant number, since it is smaller than the sum of its proper divisors (9587984000).

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

4861091200 is a wasteful number, since it uses less digits than its factorization.

4861091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 4861091200 is about 69721.5260877155. The cubic root of 4861091200 is about 1693.9916151552.

Adding to 4861091200 its reverse (21901684), we get a palindrome (4882992884).

The spelling of 4861091200 in words is "four billion, eight hundred sixty-one million, ninety-one thousand, two hundred".