39406617121 has 9 divisors (see below), whose sum is σ = 39663761011. Its totient is φ = 39151133464.

The previous prime is 39406617113. The next prime is 39406617157. The reversal of 39406617121 is 12171660493.

The square root of 39406617121 is 198511.

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., 637007121 + 38769610000 = 25239^2 + 196900^2 .

It is not a de Polignac number, because 39406617121 - 2³ = 39406617113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39406617191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35532915 + ... + 35534023.

Almost surely, 2^39406617121 is an apocalyptic number.

39406617121 is the 198511-st square number.

39406617121 is the 99256-th centered octagonal number.

It is an amenable number.

39406617121 is a deficient number, since it is larger than the sum of its proper divisors (257143890).

39406617121 is an frugal number, since it uses more digits than its factorization.

39406617121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 39406617121 in words is "thirty-nine billion, four hundred six million, six hundred seventeen thousand, one hundred twenty-one".