41983600201 has 9 divisors (see below), whose sum is σ = 42695849703. Its totient is φ = 41283050520.

The previous prime is 41983600193. The next prime is 41983600313. The reversal of 41983600201 is 10200638914.

The square root of 41983600201 is 204899.

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

41983600201 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., 1365228601 + 40618371600 = 36949^2 + 201540^2 .

It is not a de Polignac number, because 41983600201 - 2³ = 41983600193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41983000201) 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, 12497160 + ... + 12500518.

Almost surely, 2^41983600201 is an apocalyptic number.

41983600201 is the 204899-th square number.

41983600201 is the 102450-th centered octagonal number.

It is an amenable number.

41983600201 is a deficient number, since it is larger than the sum of its proper divisors (712249502).

41983600201 is an frugal number, since it uses more digits than its factorization.

41983600201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 41983600201 in words is "forty-one billion, nine hundred eighty-three million, six hundred thousand, two hundred one".