4414004414441 has 2 divisors, whose sum is σ = 4414004414442. Its totient is φ = 4414004414440.

The previous prime is 4414004414401. The next prime is 4414004414471. The reversal of 4414004414441 is 1444144004144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3286098817600 + 1127905596841 = 1812760^2 + 1062029^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4414004414441 is a prime.

It is not a weakly prime, because it can be changed into another prime (4414004414401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2207002207220 + 2207002207221.

It is an arithmetic number, because the mean of its divisors is an integer number (2207002207221).

Almost surely, 2^{4414004414441} is an apocalyptic number.

It is an amenable number.

4414004414441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4414004414441 is an equidigital number, since it uses as much as digits as its factorization.

4414004414441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65536, while the sum is 35.

Adding to 4414004414441 its reverse (1444144004144), we get a palindrome (5858148418585).

The spelling of 4414004414441 in words is "four trillion, four hundred fourteen billion, four million, four hundred fourteen thousand, four hundred forty-one".