4461331200 has 216 divisors, whose sum is σ = 14789917968. Its totient is φ = 1184317440.

The previous prime is 4461331181. The next prime is 4461331201. The reversal of 4461331200 is 21331644.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4461331201) 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, 6086034 + ... + 6086766.

Almost surely, 2^4461331200 is an apocalyptic number.

4461331200 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 4461331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394958984).

4461331200 is an abundant number, since it is smaller than the sum of its proper divisors (10328586768).

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

4461331200 is a wasteful number, since it uses less digits than its factorization.

4461331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4461331200 is about 66793.1972584035. The cubic root of 4461331200 is about 1646.2210671950.

Adding to 4461331200 its reverse (21331644), we get a palindrome (4482662844).

The spelling of 4461331200 in words is "four billion, four hundred sixty-one million, three hundred thirty-one thousand, two hundred".