441088581025 has 27 divisors (see below), whose sum is σ = 577334353203. Its totient is φ = 334250895600.

The previous prime is 441088581013. The next prime is 441088581047. The reversal of 441088581025 is 520185880144.

It is a happy number.

The square root of 441088581025 is 664145.

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., 158791889169 + 282296691856 = 398487^2 + 531316^2 .

It is not a de Polignac number, because 441088581025 - 2¹¹ = 441088578977 is a prime.

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, 63090280 + ... + 63097270.

Almost surely, 2^441088581025 is an apocalyptic number.

441088581025 is the 664145-th square number.

441088581025 is the 332073-rd centered octagonal number.

It is an amenable number.

441088581025 is a deficient number, since it is larger than the sum of its proper divisors (136245772178).

441088581025 is an frugal number, since it uses more digits than its factorization.

441088581025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14030 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 46.

The spelling of 441088581025 in words is "four hundred forty-one billion, eighty-eight million, five hundred eighty-one thousand, twenty-five".