441020000 has 60 divisors (see below), whose sum is σ = 1085024556. Its totient is φ = 176400000.

The previous prime is 441019993. The next prime is 441020011. The reversal of 441020000 is 20144.

It is a super-3 number, since 3×441020000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8975 + ... + 31025.

Almost surely, 2^441020000 is an apocalyptic number.

441020000 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 441020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542512278).

441020000 is an abundant number, since it is smaller than the sum of its proper divisors (644004556).

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

441020000 is an equidigital number, since it uses as much as digits as its factorization.

441020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22081 (or 22058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 441020000 is about 21000.4761850773. The cubic root of 441020000 is about 761.1777675987.

Adding to 441020000 its reverse (20144), we get a palindrome (441040144).

The spelling of 441020000 in words is "four hundred forty-one million, twenty thousand".