1004008004001 has 48 divisors (see below), whose sum is σ = 1553302792080. Its totient is φ = 622683832320.

The previous prime is 1004008003997. The next prime is 1004008004003.

1004008004001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1476403776 + 1002531600225 = 38424^2 + 1001265^2 .

It is not a de Polignac number, because 1004008004001 - 2² = 1004008003997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004008004003) 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 47 ways as a sum of consecutive naturals, for example, 48915621 + ... + 48936141.

It is an arithmetic number, because the mean of its divisors is an integer number (32360474835).

Almost surely, 2^{1004008004001} is an apocalyptic number.

It is an amenable number.

1004008004001 is a deficient number, since it is larger than the sum of its proper divisors (549294788079).

1004008004001 is a wasteful number, since it uses less digits than its factorization.

1004008004001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24226 (or 24223 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 1004008004001 in words is "one trillion, four billion, eight million, four thousand, one".