4160983942801 has 27 divisors (see below), whose sum is σ = 4861130027067. Its totient is φ = 3551295515040.

The previous prime is 4160983942783. The next prime is 4160983942867. The reversal of 4160983942801 is 1082493890614.

The square root of 4160983942801 is 2039849.

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

4160983942801 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 only one way, i.e., 219075483025 + 3941908459776 = 468055^2 + 1985424^2 .

It is not a de Polignac number, because 4160983942801 - 2⁷ = 4160983942673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4160983942301) 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, 4440750805 + ... + 4440751741.

Almost surely, 2^{4160983942801} is an apocalyptic number.

4160983942801 is the 2039849-th square number.

4160983942801 is the 1019925-th centered octagonal number.

It is an amenable number.

4160983942801 is a deficient number, since it is larger than the sum of its proper divisors (700146084266).

4160983942801 is an frugal number, since it uses more digits than its factorization.

4160983942801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 4160983942801 in words is "four trillion, one hundred sixty billion, nine hundred eighty-three million, nine hundred forty-two thousand, eight hundred one".