1004334421041 has 24 divisors (see below), whose sum is σ = 1658319346944. Its totient is φ = 573777146880.

The previous prime is 1004334421031. The next prime is 1004334421061. The reversal of 1004334421041 is 1401244334001.

1004334421041 is a `hidden beast` number, since 10 + 0 + 433 + 4 + 4 + 210 + 4 + 1 = 666.

It is not a de Polignac number, because 1004334421041 - 2²² = 1004330226737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1004334420996 and 1004334421014.

It is not an unprimeable number, because it can be changed into a prime (1004334421031) 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 in 23 ways as a sum of consecutive naturals, for example, 1496521 + ... + 2061126.

It is an arithmetic number, because the mean of its divisors is an integer number (69096639456).

Almost surely, 2^{1004334421041} is an apocalyptic number.

It is an amenable number.

1004334421041 is a deficient number, since it is larger than the sum of its proper divisors (653984925903).

1004334421041 is a wasteful number, since it uses less digits than its factorization.

1004334421041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562141 (or 3562138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1004334421041 its reverse (1401244334001), we get a palindrome (2405578755042).

The spelling of 1004334421041 in words is "one trillion, four billion, three hundred thirty-four million, four hundred twenty-one thousand, forty-one".