409956146069 has 2 divisors, whose sum is σ = 409956146070. Its totient is φ = 409956146068.

The previous prime is 409956146051. The next prime is 409956146077. The reversal of 409956146069 is 960641659904.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364900564900 + 45055581169 = 604070^2 + 212263^2 .

It is a cyclic number.

It is not a de Polignac number, because 409956146069 - 2¹⁶ = 409956080533 is a prime.

It is a super-2 number, since 2×409956146069² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 409956145999 and 409956146017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409956146009) 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 as a sum of consecutive naturals, namely, 204978073034 + 204978073035.

It is an arithmetic number, because the mean of its divisors is an integer number (204978073035).

Almost surely, 2^409956146069 is an apocalyptic number.

It is an amenable number.

409956146069 is a deficient number, since it is larger than the sum of its proper divisors (1).

409956146069 is an equidigital number, since it uses as much as digits as its factorization.

409956146069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12597120, while the sum is 59.

The spelling of 409956146069 in words is "four hundred nine billion, nine hundred fifty-six million, one hundred forty-six thousand, sixty-nine".