1004004000000 has 567 divisors, whose sum is σ = 3640239556681. Its totient is φ = 266131200000.

The previous prime is 1004003999993. The next prime is 1004004000007. The reversal of 1004004000000 is 4004001.

The square root of 1004004000000 is 1002000.

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

It is an interprime number because it is at equal distance from previous prime (1004003999993) and next prime (1004004000007).

It can be written as a sum of positive squares in 3 ways, for example, as 879603888384 + 124400111616 = 937872^2 + 352704^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004004000007) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6011999917 + ... + 6012000083.

Almost surely, 2^{1004004000000} is an apocalyptic number.

1004004000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004004000000 is the 1002000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004004000000

1004004000000 is an abundant number, since it is smaller than the sum of its proper divisors (2636235556681).

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

1004004000000 is an frugal number, since it uses more digits than its factorization.

1004004000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 177 counting only the distinct ones).

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

Multiplying 1004004000000 by its product of nonzero digits (16), we get a square (16064064000000 = 4008000²).

1004004000000 divided by its product of nonzero digits (16) gives a square (62750250000 = 250500²).

Adding to 1004004000000 its reverse (4004001), we get a palindrome (1004008004001).

The spelling of 1004004000000 in words is "one trillion, four billion, four million", and thus it is an aban number.