39766741056 has 189 divisors, whose sum is σ = 132705644799. Its totient is φ = 11352354048.

The previous prime is 39766740989. The next prime is 39766741073. The reversal of 39766741056 is 65014766793.

It is a happy number.

The square root of 39766741056 is 199416.

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

It is a junction number, because it is equal to n+sod(n) for n = 39766740993 and 39766741011.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33501295 + ... + 33502481.

Almost surely, 2^39766741056 is an apocalyptic number.

39766741056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39766741056 is the 199416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39766741056

39766741056 is an abundant number, since it is smaller than the sum of its proper divisors (92938903743).

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

39766741056 is an equidigital number, since it uses as much as digits as its factorization.

39766741056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 39766741056 in words is "thirty-nine billion, seven hundred sixty-six million, seven hundred forty-one thousand, fifty-six".