407955682498561 has 2 divisors, whose sum is σ = 407955682498562. Its totient is φ = 407955682498560.

The previous prime is 407955682498543. The next prime is 407955682498571. The reversal of 407955682498561 is 165894286559704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398984645160000 + 8971037338561 = 19974600^2 + 2995169^2 .

It is a cyclic number.

It is not a de Polignac number, because 407955682498561 - 2⁴³ = 399159589476353 is a prime.

It is not a weakly prime, because it can be changed into another prime (407955682498501) 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, 203977841249280 + 203977841249281.

It is an arithmetic number, because the mean of its divisors is an integer number (203977841249281).

Almost surely, 2^{407955682498561} is an apocalyptic number.

It is an amenable number.

407955682498561 is a deficient number, since it is larger than the sum of its proper divisors (1).

407955682498561 is an equidigital number, since it uses as much as digits as its factorization.

407955682498561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472000, while the sum is 79.

The spelling of 407955682498561 in words is "four hundred seven trillion, nine hundred fifty-five billion, six hundred eighty-two million, four hundred ninety-eight thousand, five hundred sixty-one".