1004021338000 has 40 divisors (see below), whose sum is σ = 2427723600120. Its totient is φ = 401608534400.

The previous prime is 1004021337961. The next prime is 1004021338031. The reversal of 1004021338000 is 8331204001.

1004021338000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 311823961744 + 692197376256 = 558412^2 + 831984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251003335 + ... + 251007334.

It is an arithmetic number, because the mean of its divisors is an integer number (60693090003).

Almost surely, 2^{1004021338000} is an apocalyptic number.

1004021338000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004021338000 is an abundant number, since it is smaller than the sum of its proper divisors (1423702262120).

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

1004021338000 is an equidigital number, since it uses as much as digits as its factorization.

1004021338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502010692 (or 502010676 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 1004021338000 in words is "one trillion, four billion, twenty-one million, three hundred thirty-eight thousand".