1000004000004 has 27 divisors (see below), whose sum is σ = 2527803055687. Its totient is φ = 333332666664.

The previous prime is 1000003999993. The next prime is 1000004000029. The reversal of 1000004000004 is 4000004000001.

The square root of 1000004000004 is 1000002.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000004000004.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5916679 + ... + 6083345.

Almost surely, 2^{1000004000004} is an apocalyptic number.

1000004000004 is the 1000002-nd square number.

It is an amenable number.

1000004000004 is an abundant number, since it is smaller than the sum of its proper divisors (1527799055683).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000004000004 is an frugal number, since it uses more digits than its factorization.

1000004000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333344 (or 166672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Multiplying 1000004000004 by its product of nonzero digits (16), we get a square (16000064000064 = 4000008²).

Adding to 1000004000004 its reverse (4000004000001), we get a palindrome (5000008000005).

The spelling of 1000004000004 in words is "one trillion, four million, four", and thus it is an aban number.