39946786200409 has 27 divisors (see below), whose sum is σ = 45477040587069. Its totient is φ = 35061240133920.

The previous prime is 39946786200407. The next prime is 39946786200437. The reversal of 39946786200409 is 90400268764993.

The square root of 39946786200409 is 6320347.

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 17003375955225 + 22943410245184 = 4123515^2 + 4789928^2 .

It is not a de Polignac number, because 39946786200409 - 2¹ = 39946786200407 is a prime.

It is a super-2 number, since 2×39946786200409² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39946786200407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2016180787 + ... + 2016200599.

Almost surely, 2^{39946786200409} is an apocalyptic number.

39946786200409 is the 6320347-th square number.

39946786200409 is the 3160174-th centered octagonal number.

It is an amenable number.

39946786200409 is a deficient number, since it is larger than the sum of its proper divisors (5530254386660).

39946786200409 is an frugal number, since it uses more digits than its factorization.

39946786200409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39706 (or 19853 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 67.

The spelling of 39946786200409 in words is "thirty-nine trillion, nine hundred forty-six billion, seven hundred eighty-six million, two hundred thousand, four hundred nine".