40686117264 has 225 divisors, whose sum is σ = 127809019569. Its totient is φ = 12489759360.

The previous prime is 40686117259. The next prime is 40686117281. The reversal of 40686117264 is 46271168604.

The square root of 40686117264 is 201708.

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

40686117264 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 611 + 7 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6018656400 + 34667460864 = 77580^2 + 186192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 94399129 + ... + 94399559.

Almost surely, 2^40686117264 is an apocalyptic number.

40686117264 is the 201708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40686117264

40686117264 is an abundant number, since it is smaller than the sum of its proper divisors (87122902305).

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

40686117264 is an equidigital number, since it uses as much as digits as its factorization.

40686117264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40686117264 in words is "forty billion, six hundred eighty-six million, one hundred seventeen thousand, two hundred sixty-four".