3814126974441 has 81 divisors (see below), whose sum is σ = 6473854018359. Its totient is φ = 2157588703872.

The previous prime is 3814126974433. The next prime is 3814126974467. The reversal of 3814126974441 is 1444796214183.

It is a happy number.

The square root of 3814126974441 is 1952979.

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

3814126974441 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 126 + 9 + 74 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67207970025 + 3746919004416 = 259245^2 + 1935696^2 .

It is not a de Polignac number, because 3814126974441 - 2³ = 3814126974433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3814121974441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4634418756 + ... + 4634419578.

Almost surely, 2^{3814126974441} is an apocalyptic number.

3814126974441 is the 1952979-th square number.

3814126974441 is the 976490-th centered octagonal number.

It is an amenable number.

3814126974441 is a deficient number, since it is larger than the sum of its proper divisors (2659727043918).

3814126974441 is an frugal number, since it uses more digits than its factorization.

3814126974441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 946 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 3814126974441 in words is "three trillion, eight hundred fourteen billion, one hundred twenty-six million, nine hundred seventy-four thousand, four hundred forty-one".