40345355124769 has 2 divisors, whose sum is σ = 40345355124770. Its totient is φ = 40345355124768.

The previous prime is 40345355124761. The next prime is 40345355124887. The reversal of 40345355124769 is 96742155354304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22466538252544 + 17878816872225 = 4739888^2 + 4228335^2 .

It is a cyclic number.

It is not a de Polignac number, because 40345355124769 - 2³ = 40345355124761 is a prime.

It is a super-2 number, since 2×40345355124769² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40345355124761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20172677562384 + 20172677562385.

It is an arithmetic number, because the mean of its divisors is an integer number (20172677562385).

Almost surely, 2^{40345355124769} is an apocalyptic number.

It is an amenable number.

40345355124769 is a deficient number, since it is larger than the sum of its proper divisors (1).

40345355124769 is an equidigital number, since it uses as much as digits as its factorization.

40345355124769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432000, while the sum is 58.

The spelling of 40345355124769 in words is "forty trillion, three hundred forty-five billion, three hundred fifty-five million, one hundred twenty-four thousand, seven hundred sixty-nine".