1004381120256 has 576 divisors, whose sum is σ = 3095001907200. Its totient is φ = 287052595200.

The previous prime is 1004381120209. The next prime is 1004381120297. The reversal of 1004381120256 is 6520211834001.

1004381120256 is digitally balanced in base 2 and base 4, because in such bases 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 63 ways as a sum of consecutive naturals, for example, 1622586315 + ... + 1622586933.

It is an arithmetic number, because the mean of its divisors is an integer number (5373267200).

Almost surely, 2^{1004381120256} is an apocalyptic number.

1004381120256 is a gapful number since it is divisible by the number (16) 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 1004381120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547500953600).

1004381120256 is an abundant number, since it is smaller than the sum of its proper divisors (2090620786944).

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

1004381120256 is a wasteful number, since it uses less digits than its factorization.

1004381120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 1004381120256 its reverse (6520211834001), we get a palindrome (7524592954257).

The spelling of 1004381120256 in words is "one trillion, four billion, three hundred eighty-one million, one hundred twenty thousand, two hundred fifty-six".