1004442223041 has 12 divisors (see below), whose sum is σ = 1452218216020. Its totient is φ = 669001736160.

The previous prime is 1004442223027. The next prime is 1004442223051. The reversal of 1004442223041 is 1403222444001.

1004442223041 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 422 + 230 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221445536400 + 782996686641 = 470580^2 + 884871^2 .

It is not a de Polignac number, because 1004442223041 - 2⁵ = 1004442223009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004442222996 and 1004442223014.

It is not an unprimeable number, because it can be changed into a prime (1004442223051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52190890 + ... + 52210131.

Almost surely, 2^{1004442223041} is an apocalyptic number.

It is an amenable number.

1004442223041 is a deficient number, since it is larger than the sum of its proper divisors (447775992979).

1004442223041 is a wasteful number, since it uses less digits than its factorization.

1004442223041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104402096 (or 104402093 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1004442223041 its reverse (1403222444001), we get a palindrome (2407664667042).

The spelling of 1004442223041 in words is "one trillion, four billion, four hundred forty-two million, two hundred twenty-three thousand, forty-one".