40540354210417 has 2 divisors, whose sum is σ = 40540354210418. Its totient is φ = 40540354210416.

The previous prime is 40540354210409. The next prime is 40540354210451. The reversal of 40540354210417 is 71401245304504.

40540354210417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33710750761216 + 6829603449201 = 5806096^2 + 2613351^2 .

It is a cyclic number.

It is not a de Polignac number, because 40540354210417 - 2³ = 40540354210409 is a prime.

It is a super-2 number, since 2×40540354210417² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40540354210417.

It is not a weakly prime, because it can be changed into another prime (40540354210717) 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 as a sum of consecutive naturals, namely, 20270177105208 + 20270177105209.

It is an arithmetic number, because the mean of its divisors is an integer number (20270177105209).

Almost surely, 2^{40540354210417} is an apocalyptic number.

It is an amenable number.

40540354210417 is a deficient number, since it is larger than the sum of its proper divisors (1).

40540354210417 is an equidigital number, since it uses as much as digits as its factorization.

40540354210417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 40540354210417 in words is "forty trillion, five hundred forty billion, three hundred fifty-four million, two hundred ten thousand, four hundred seventeen".