441130668 has 96 divisors (see below), whose sum is σ = 1151055360. Its totient is φ = 131454400.

The previous prime is 441130661. The next prime is 441130681. The reversal of 441130668 is 866031144.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (441130661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133818 + ... + 1134206.

It is an arithmetic number, because the mean of its divisors is an integer number (11990160).

Almost surely, 2^441130668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441130668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

441130668 is an abundant number, since it is smaller than the sum of its proper divisors (709924692).

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

441130668 is a wasteful number, since it uses less digits than its factorization.

441130668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 441130668 is about 21003.1109124339. The cubic root of 441130668 is about 761.2414313600.

The spelling of 441130668 in words is "four hundred forty-one million, one hundred thirty thousand, six hundred sixty-eight".