442114002410441 has 2 divisors, whose sum is σ = 442114002410442. Its totient is φ = 442114002410440.

The previous prime is 442114002410417. The next prime is 442114002410453. The reversal of 442114002410441 is 144014200411244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253320329281600 + 188793673128841 = 15916040^2 + 13740221^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-442114002410441 is a prime.

It is a super-2 number, since 2×442114002410441² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442114002410398 and 442114002410407.

It is not a weakly prime, because it can be changed into another prime (442114002410741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221057001205220 + 221057001205221.

It is an arithmetic number, because the mean of its divisors is an integer number (221057001205221).

Almost surely, 2^{442114002410441} is an apocalyptic number.

It is an amenable number.

442114002410441 is a deficient number, since it is larger than the sum of its proper divisors (1).

442114002410441 is an equidigital number, since it uses as much as digits as its factorization.

442114002410441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 442114002410441 its reverse (144014200411244), we get a palindrome (586128202821685).

The spelling of 442114002410441 in words is "four hundred forty-two trillion, one hundred fourteen billion, two million, four hundred ten thousand, four hundred forty-one".