1004410304000 has 320 divisors, whose sum is σ = 2594425946112. Its totient is φ = 387595264000.

The previous prime is 1004410303973. The next prime is 1004410304011. The reversal of 1004410304000 is 4030144001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 1004410304000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 213565649 + ... + 213570351.

Almost surely, 2^{1004410304000} is an apocalyptic number.

1004410304000 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 1004410304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297212973056).

1004410304000 is an abundant number, since it is smaller than the sum of its proper divisors (1590015642112).

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

1004410304000 is an frugal number, since it uses more digits than its factorization.

1004410304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4828 counting only the distinct ones).

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

Adding to 1004410304000 its reverse (4030144001), we get a palindrome (1008440448001).

The spelling of 1004410304000 in words is "one trillion, four billion, four hundred ten million, three hundred four thousand".