410444410022113 has 2 divisors, whose sum is σ = 410444410022114. Its totient is φ = 410444410022112.

The previous prime is 410444410021981. The next prime is 410444410022189. The reversal of 410444410022113 is 311220014444014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409110978626064 + 1333431396049 = 20226492^2 + 1154743^2 .

It is a cyclic number.

It is not a de Polignac number, because 410444410022113 - 2¹³ = 410444410013921 is a prime.

It is a super-2 number, since 2×410444410022113² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (410444410052113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205222205011056 + 205222205011057.

It is an arithmetic number, because the mean of its divisors is an integer number (205222205011057).

Almost surely, 2^{410444410022113} is an apocalyptic number.

It is an amenable number.

410444410022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

410444410022113 is an equidigital number, since it uses as much as digits as its factorization.

410444410022113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 410444410022113 its reverse (311220014444014), we get a palindrome (721664424466127).

The spelling of 410444410022113 in words is "four hundred ten trillion, four hundred forty-four billion, four hundred ten million, twenty-two thousand, one hundred thirteen".