40175768464561 has 2 divisors, whose sum is σ = 40175768464562. Its totient is φ = 40175768464560.

The previous prime is 40175768464543. The next prime is 40175768464607. The reversal of 40175768464561 is 16546486757104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34505274026161 + 5670494438400 = 5874119^2 + 2381280^2 .

It is a cyclic number.

It is not a de Polignac number, because 40175768464561 - 2⁵ = 40175768464529 is a prime.

It is a super-2 number, since 2×40175768464561² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40175768464493 and 40175768464502.

It is not a weakly prime, because it can be changed into another prime (40175768464541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20087884232280 + 20087884232281.

It is an arithmetic number, because the mean of its divisors is an integer number (20087884232281).

Almost surely, 2^{40175768464561} is an apocalyptic number.

It is an amenable number.

40175768464561 is a deficient number, since it is larger than the sum of its proper divisors (1).

40175768464561 is an equidigital number, since it uses as much as digits as its factorization.

40175768464561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135475200, while the sum is 64.

The spelling of 40175768464561 in words is "forty trillion, one hundred seventy-five billion, seven hundred sixty-eight million, four hundred sixty-four thousand, five hundred sixty-one".