409612800127 has 2 divisors, whose sum is σ = 409612800128. Its totient is φ = 409612800126.

The previous prime is 409612800067. The next prime is 409612800187. The reversal of 409612800127 is 721008216904.

It is a balanced prime because it is at equal distance from previous prime (409612800067) and next prime (409612800187).

It is a cyclic number.

It is not a de Polignac number, because 409612800127 - 2¹¹ = 409612798079 is a prime.

It is a super-2 number, since 2×409612800127² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 409612800127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409612800187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204806400063 + 204806400064.

It is an arithmetic number, because the mean of its divisors is an integer number (204806400064).

Almost surely, 2^409612800127 is an apocalyptic number.

409612800127 is a deficient number, since it is larger than the sum of its proper divisors (1).

409612800127 is an equidigital number, since it uses as much as digits as its factorization.

409612800127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 409612800127 in words is "four hundred nine billion, six hundred twelve million, eight hundred thousand, one hundred twenty-seven".