39566616040000 has 315 divisors, whose sum is σ = 114156098805837. Its totient is φ = 13562677632000.

The previous prime is 39566616039971. The next prime is 39566616040009. The reversal of 39566616040000 is 4061666593.

The square root of 39566616040000 is 6290200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4487245729344 + 35079370310656 = 2118312^2 + 5922784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39566616040009) 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 44 ways as a sum of consecutive naturals, for example, 8806277754 + ... + 8806282246.

Almost surely, 2^{39566616040000} is an apocalyptic number.

39566616040000 is the 6290200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39566616040000

39566616040000 is an abundant number, since it is smaller than the sum of its proper divisors (74589482765837).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39566616040000 is an frugal number, since it uses more digits than its factorization.

39566616040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 39566616040000 in words is "thirty-nine trillion, five hundred sixty-six billion, six hundred sixteen million, forty thousand".