1004441412004 has 6 divisors (see below), whose sum is σ = 1757772471014. Its totient is φ = 502220706000.

The previous prime is 1004441411977. The next prime is 1004441412017. The reversal of 1004441412004 is 4002141444001.

It can be written as a sum of positive squares in only one way, i.e., 650606786404 + 353834625600 = 806602^2 + 594840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1004441412004.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 125555176497 + ... + 125555176504.

Almost surely, 2^{1004441412004} is an apocalyptic number.

It is an amenable number.

1004441412004 is a deficient number, since it is larger than the sum of its proper divisors (753331059010).

1004441412004 is a wasteful number, since it uses less digits than its factorization.

1004441412004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251110353005 (or 251110353003 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1004441412004 its reverse (4002141444001), we get a palindrome (5006582856005).

The spelling of 1004441412004 in words is "one trillion, four billion, four hundred forty-one million, four hundred twelve thousand, four".