40664335716 has 135 divisors (see below), whose sum is σ = 113097273289. Its totient is φ = 12738079872.

The previous prime is 40664335709. The next prime is 40664335727. The reversal of 40664335716 is 61753346604.

The square root of 40664335716 is 201654.

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

40664335716 is a `hidden beast` number, since 40 + 6 + 6 + 4 + 33 + 571 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31659084900 + 9005250816 = 177930^2 + 94896^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 61705795 + ... + 61706453.

Almost surely, 2^40664335716 is an apocalyptic number.

40664335716 is the 201654-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40664335716

40664335716 is an abundant number, since it is smaller than the sum of its proper divisors (72432937573).

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

40664335716 is an equidigital number, since it uses as much as digits as its factorization.

40664335716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 40664335716 in words is "forty billion, six hundred sixty-four million, three hundred thirty-five thousand, seven hundred sixteen".