406416276577 has 2 divisors, whose sum is σ = 406416276578. Its totient is φ = 406416276576.

The previous prime is 406416276509. The next prime is 406416276599. The reversal of 406416276577 is 775672614604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 341066512081 + 65349764496 = 584009^2 + 255636^2 .

It is a cyclic number.

It is not a de Polignac number, because 406416276577 - 2¹¹ = 406416274529 is a prime.

It is not a weakly prime, because it can be changed into another prime (406416276977) 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, 203208138288 + 203208138289.

It is an arithmetic number, because the mean of its divisors is an integer number (203208138289).

Almost surely, 2^406416276577 is an apocalyptic number.

It is an amenable number.

406416276577 is a deficient number, since it is larger than the sum of its proper divisors (1).

406416276577 is an equidigital number, since it uses as much as digits as its factorization.

406416276577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 406416276577 in words is "four hundred six billion, four hundred sixteen million, two hundred seventy-six thousand, five hundred seventy-seven".