441163719072 has 288 divisors, whose sum is σ = 1353188229120. Its totient is φ = 135936852480.

The previous prime is 441163719053. The next prime is 441163719077. The reversal of 441163719072 is 270917361144.

It is a happy number.

441163719072 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 637 + 1 + 9 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (441163719077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272490679 + ... + 272492297.

It is an arithmetic number, because the mean of its divisors is an integer number (4698570240).

Almost surely, 2^441163719072 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 441163719072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676594114560).

441163719072 is an abundant number, since it is smaller than the sum of its proper divisors (912024510048).

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

441163719072 is a wasteful number, since it uses less digits than its factorization.

441163719072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 441163719072 in words is "four hundred forty-one billion, one hundred sixty-three million, seven hundred nineteen thousand, seventy-two".