39434413561 has 9 divisors (see below), whose sum is σ = 39617355981. Its totient is φ = 39252314784.

The previous prime is 39434413559. The next prime is 39434413573. The reversal of 39434413561 is 16531443493.

It is a happy number.

The square root of 39434413561 is 198581.

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

It can be written as a sum of positive squares in 4 ways, for example, as 601769961 + 38832643600 = 24531^2 + 197060^2 .

It is not a de Polignac number, because 39434413561 - 2¹ = 39434413559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39434413061) 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, 69304485 + ... + 69305053.

Almost surely, 2^39434413561 is an apocalyptic number.

39434413561 is the 198581-st square number.

39434413561 is the 99291-st centered octagonal number.

It is an amenable number.

39434413561 is a deficient number, since it is larger than the sum of its proper divisors (182942420).

39434413561 is an frugal number, since it uses more digits than its factorization.

39434413561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 918 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The spelling of 39434413561 in words is "thirty-nine billion, four hundred thirty-four million, four hundred thirteen thousand, five hundred sixty-one".