441010020 has 96 divisors (see below), whose sum is σ = 1350429696. Its totient is φ = 106646400.

The previous prime is 441010019. The next prime is 441010057. The reversal of 441010020 is 20010144.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 441009978 and 441010005.

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 31 ways as a sum of consecutive naturals, for example, 455577 + ... + 456543.

It is an arithmetic number, because the mean of its divisors is an integer number (14066976).

Almost surely, 2^441010020 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 441010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675214848).

441010020 is an abundant number, since it is smaller than the sum of its proper divisors (909419676).

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

441010020 is a wasteful number, since it uses less digits than its factorization.

441010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 441010020 is about 21000.2385700734. The cubic root of 441010020 is about 761.1720259003.

Adding to 441010020 its reverse (20010144), we get a palindrome (461020164).

The spelling of 441010020 in words is "four hundred forty-one million, ten thousand, twenty".