39740821201 has 9 divisors (see below), whose sum is σ = 39931311259. Its totient is φ = 39551238400.

The previous prime is 39740821187. The next prime is 39740821207. The reversal of 39740821201 is 10212804793.

The square root of 39740821201 is 199351.

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

It can be written as a sum of positive squares in only one way, i.e., 35871981201 + 3868840000 = 189399^2 + 62200^2 .

It is not a de Polignac number, because 39740821201 - 2⁷ = 39740821073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39740821207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61997841 + ... + 61998481.

Almost surely, 2^39740821201 is an apocalyptic number.

39740821201 is the 199351-st square number.

39740821201 is the 99676-th centered octagonal number.

It is an amenable number.

39740821201 is a deficient number, since it is larger than the sum of its proper divisors (190490058).

39740821201 is an frugal number, since it uses more digits than its factorization.

39740821201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

It can be divided in two parts, 397408 and 21201, that added together give a square (418609 = 647²).

The spelling of 39740821201 in words is "thirty-nine billion, seven hundred forty million, eight hundred twenty-one thousand, two hundred one".