1004103441120 has 288 divisors, whose sum is σ = 3439221708384. Its totient is φ = 246133555200.

The previous prime is 1004103441109. The next prime is 1004103441163. The reversal of 1004103441120 is 211443014001.

1004103441120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19524240 + ... + 19575600.

It is an arithmetic number, because the mean of its divisors is an integer number (11941742043).

Almost surely, 2^{1004103441120} is an apocalyptic number.

1004103441120 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 1004103441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719610854192).

1004103441120 is an abundant number, since it is smaller than the sum of its proper divisors (2435118267264).

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

1004103441120 is a wasteful number, since it uses less digits than its factorization.

1004103441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51646 (or 51625 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1004103441120 its reverse (211443014001), we get a palindrome (1215546455121).

The spelling of 1004103441120 in words is "one trillion, four billion, one hundred three million, four hundred forty-one thousand, one hundred twenty".