1004006004002 has 12 divisors (see below), whose sum is σ = 1599808875810. Its totient is φ = 472473413376.

The previous prime is 1004006003999. The next prime is 1004006004047. The reversal of 1004006004002 is 2004006004001.

It is a Cunningham number, because it is equal to 1001⁴+1.

It can be written as a sum of positive squares in 3 ways, for example, as 1004006004001 + 1 = 1002001^2 + 1^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 868516727 + ... + 868517882.

Almost surely, 2^{1004006004002} is an apocalyptic number.

1004006004002 is a deficient number, since it is larger than the sum of its proper divisors (595802871808).

1004006004002 is a wasteful number, since it uses less digits than its factorization.

1004006004002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737034645 (or 1737034628 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Subtracting 1004006004002 from its reverse (2004006004001), we obtain a palindrome (999999999999).

The spelling of 1004006004002 in words is "one trillion, four billion, six million, four thousand, two".