40905464003617 has 2 divisors, whose sum is σ = 40905464003618. Its totient is φ = 40905464003616.

The previous prime is 40905464003563. The next prime is 40905464003753. The reversal of 40905464003617 is 71630046450904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30925955554321 + 9979508449296 = 5561111^2 + 3159036^2 .

It is a cyclic number.

It is not a de Polignac number, because 40905464003617 - 2²⁷ = 40905329785889 is a prime.

It is a super-2 number, since 2×40905464003617² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40905464033617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20452732001808 + 20452732001809.

It is an arithmetic number, because the mean of its divisors is an integer number (20452732001809).

Almost surely, 2^{40905464003617} is an apocalyptic number.

It is an amenable number.

40905464003617 is a deficient number, since it is larger than the sum of its proper divisors (1).

40905464003617 is an equidigital number, since it uses as much as digits as its factorization.

40905464003617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 40905464003617 in words is "forty trillion, nine hundred five billion, four hundred sixty-four million, three thousand, six hundred seventeen".