1004802004800 has 378 divisors, whose sum is σ = 3925489243494. Its totient is φ = 243587942400.

The previous prime is 1004802004783. The next prime is 1004802004819. The reversal of 1004802004800 is 84002084001.

1004802004800 is a `hidden beast` number, since 100 + 4 + 80 + 2 + 0 + 0 + 480 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10011203136 + 994790801664 = 100056^2 + 997392^2 .

It is a congruent number.

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 in 53 ways as a sum of consecutive naturals, for example, 1454062 + ... + 2030738.

Almost surely, 2^{1004802004800} is an apocalyptic number.

1004802004800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004802004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962744621747).

1004802004800 is an abundant number, since it is smaller than the sum of its proper divisors (2920687238694).

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

1004802004800 is a wasteful number, since it uses less digits than its factorization.

1004802004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576727 (or 576698 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1004802004800 its reverse (84002084001), we get a palindrome (1088804088801).

The spelling of 1004802004800 in words is "one trillion, four billion, eight hundred two million, four thousand, eight hundred".