4083256779849 has 243 divisors, whose sum is σ = 7069342075029. Its totient is φ = 2356952644800.

The previous prime is 4083256779779. The next prime is 4083256779853. The reversal of 4083256779849 is 9489776523804.

The square root of 4083256779849 is 2020707.

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

4083256779849 is a `hidden beast` number, since 408 + 3 + 25 + 6 + 77 + 98 + 49 = 666.

4083256779849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 154013078025 + 3929243701824 = 392445^2 + 1982232^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 4083256779849 - 2³⁹ = 3533500965961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4083256771849) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 40428284899 + ... + 40428284999.

Almost surely, 2^{4083256779849} is an apocalyptic number.

4083256779849 is the 2020707-th square number.

4083256779849 is the 1010354-th centered octagonal number.

It is an amenable number.

4083256779849 is a deficient number, since it is larger than the sum of its proper divisors (2986085295180).

4083256779849 is an frugal number, since it uses more digits than its factorization.

4083256779849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 4083256779849 in words is "four trillion, eighty-three billion, two hundred fifty-six million, seven hundred seventy-nine thousand, eight hundred forty-nine".