4195446861841 has 27 divisors (see below), whose sum is σ = 4523075604337. Its totient is φ = 3890746926080.

The previous prime is 4195446861821. The next prime is 4195446861857. The reversal of 4195446861841 is 1481686445914.

The square root of 4195446861841 is 2048279.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2518318260241 + 1677128601600 = 1586921^2 + 1295040^2 .

It is not a de Polignac number, because 4195446861841 - 2³¹ = 4193299378193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4195446861841.

It is not an unprimeable number, because it can be changed into a prime (4195446861821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2472271905 + ... + 2472273601.

Almost surely, 2^{4195446861841} is an apocalyptic number.

4195446861841 is the 2048279-th square number.

4195446861841 is the 1024140-th centered octagonal number.

It is an amenable number.

4195446861841 is a deficient number, since it is larger than the sum of its proper divisors (327628742496).

4195446861841 is an frugal number, since it uses more digits than its factorization.

4195446861841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 1785 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 61.

The spelling of 4195446861841 in words is "four trillion, one hundred ninety-five billion, four hundred forty-six million, eight hundred sixty-one thousand, eight hundred forty-one".