441413100020 has 48 divisors (see below), whose sum is σ = 959119615440. Its totient is φ = 170443413504.

The previous prime is 441413100001. The next prime is 441413100061. The reversal of 441413100020 is 20001314144.

It can be written as a sum of positive squares in 8 ways, for example, as 97461347344 + 343951752676 = 312188^2 + 586474^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 441413099965 and 441413100001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3000422 + ... + 3144098.

It is an arithmetic number, because the mean of its divisors is an integer number (19981658655).

Almost surely, 2^441413100020 is an apocalyptic number.

It is an amenable number.

441413100020 is an abundant number, since it is smaller than the sum of its proper divisors (517706515420).

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

441413100020 is a wasteful number, since it uses less digits than its factorization.

441413100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149012 (or 149010 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 441413100020 its reverse (20001314144), we get a palindrome (461414414164).

The spelling of 441413100020 in words is "four hundred forty-one billion, four hundred thirteen million, one hundred thousand, twenty".