441001120 has 96 divisors (see below), whose sum is σ = 1218526848. Its totient is φ = 147667968.

The previous prime is 441001117. The next prime is 441001123. The reversal of 441001120 is 21100144.

It is an interprime number because it is at equal distance from previous prime (441001117) and next prime (441001123).

It is a self number, because there is not a number n which added to its sum of digits gives 441001120.

It is not an unprimeable number, because it can be changed into a prime (441001123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43582 + ... + 52738.

It is an arithmetic number, because the mean of its divisors is an integer number (12692988).

Almost surely, 2^441001120 is an apocalyptic number.

441001120 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 441001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609263424).

441001120 is an abundant number, since it is smaller than the sum of its proper divisors (777525728).

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

441001120 is a wasteful number, since it uses less digits than its factorization.

441001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9222 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 441001120 is about 21000.0266666497. The cubic root of 441001120 is about 761.1669054750.

Adding to 441001120 its reverse (21100144), we get a palindrome (462101264).

The spelling of 441001120 in words is "four hundred forty-one million, one thousand, one hundred twenty".