40765327346601 has 192 divisors, whose sum is σ = 75587103648000. Its totient is φ = 21402554572800.

The previous prime is 40765327346593. The next prime is 40765327346641. The reversal of 40765327346601 is 10664372356704.

40765327346601 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 5 + 3 + 27 + 3 + 4 + 6 + 601 = 666.

40765327346601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40765327346601 - 2³ = 40765327346593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40765327346641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 389371981 + ... + 389476661.

It is an arithmetic number, because the mean of its divisors is an integer number (393682831500).

Almost surely, 2^{40765327346601} is an apocalyptic number.

It is an amenable number.

40765327346601 is a deficient number, since it is larger than the sum of its proper divisors (34821776301399).

40765327346601 is a wasteful number, since it uses less digits than its factorization.

40765327346601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105097 (or 105074 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 40765327346601 in words is "forty trillion, seven hundred sixty-five billion, three hundred twenty-seven million, three hundred forty-six thousand, six hundred one".