409627626467841 has 48 divisors (see below), whose sum is σ = 614560466520000. Its totient is φ = 272657035683648.

The previous prime is 409627626467779. The next prime is 409627626467933. The reversal of 409627626467841 is 148764626726904.

409627626467841 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 27 + 62 + 6 + 467 + 84 + 1 = 666.

It is not a de Polignac number, because 409627626467841 - 2¹⁷ = 409627626336769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409627626467841.

It is not an unprimeable number, because it can be changed into a prime (409627626460841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3963178935 + ... + 3963282291.

It is an arithmetic number, because the mean of its divisors is an integer number (12803343052500).

Almost surely, 2^{409627626467841} is an apocalyptic number.

It is an amenable number.

409627626467841 is a deficient number, since it is larger than the sum of its proper divisors (204932840052159).

409627626467841 is a wasteful number, since it uses less digits than its factorization.

409627626467841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128780 (or 128768 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 409627626467841 in words is "four hundred nine trillion, six hundred twenty-seven billion, six hundred twenty-six million, four hundred sixty-seven thousand, eight hundred forty-one".