40347662046961 has 2 divisors, whose sum is σ = 40347662046962. Its totient is φ = 40347662046960.

The previous prime is 40347662046947. The next prime is 40347662047003. The reversal of 40347662046961 is 16964026674304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39933312356961 + 414349690000 = 6319281^2 + 643700^2 .

It is a cyclic number.

It is not a de Polignac number, because 40347662046961 - 2¹¹ = 40347662044913 is a prime.

It is a super-2 number, since 2×40347662046961² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40347662046896 and 40347662046905.

It is not a weakly prime, because it can be changed into another prime (40347662046931) 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, 20173831023480 + 20173831023481.

It is an arithmetic number, because the mean of its divisors is an integer number (20173831023481).

Almost surely, 2^{40347662046961} is an apocalyptic number.

It is an amenable number.

40347662046961 is a deficient number, since it is larger than the sum of its proper divisors (1).

40347662046961 is an equidigital number, since it uses as much as digits as its factorization.

40347662046961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31352832, while the sum is 58.

The spelling of 40347662046961 in words is "forty trillion, three hundred forty-seven billion, six hundred sixty-two million, forty-six thousand, nine hundred sixty-one".