444194257441 has 9 divisors (see below), whose sum is σ = 488254638963. Its totient is φ = 403806296520.

The previous prime is 444194257433. The next prime is 444194257477. The reversal of 444194257441 is 144752491444.

The square root of 444194257441 is 666479.

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., 386795681041 + 57398576400 = 621929^2 + 239580^2 .

It is not a de Polignac number, because 444194257441 - 2³ = 444194257433 is a prime.

It is a super-2 number, since 2×444194257441² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444194257421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7300975 + ... + 7361563.

Almost surely, 2^444194257441 is an apocalyptic number.

444194257441 is the 666479-th square number.

444194257441 is the 333240-th centered octagonal number.

It is an amenable number.

444194257441 is a deficient number, since it is larger than the sum of its proper divisors (44060381522).

444194257441 is an frugal number, since it uses more digits than its factorization.

444194257441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121200 (or 60600 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

Multiplying 444194257441 by its sum of digits (49), we get a square (21765518614609 = 4665353²).

The spelling of 444194257441 in words is "four hundred forty-four billion, one hundred ninety-four million, two hundred fifty-seven thousand, four hundred forty-one".