441972336100 has 81 divisors (see below), whose sum is σ = 1012503963177. Its totient is φ = 167436387360.

The previous prime is 441972336079. The next prime is 441972336163. The reversal of 441972336100 is 1633279144.

The square root of 441972336100 is 664810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 159110040996 + 282862295104 = 398886^2 + 531848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126312151 + ... + 126315649.

Almost surely, 2^441972336100 is an apocalyptic number.

441972336100 is the 664810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441972336100

441972336100 is an abundant number, since it is smaller than the sum of its proper divisors (570531627077).

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

441972336100 is an equidigital number, since it uses as much as digits as its factorization.

441972336100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 441972336100 in words is "four hundred forty-one billion, nine hundred seventy-two million, three hundred thirty-six thousand, one hundred".