1004253343104 has 128 divisors (see below), whose sum is σ = 2910693346560. Its totient is φ = 304252160000.

The previous prime is 1004253343043. The next prime is 1004253343111. The reversal of 1004253343104 is 4013433524001.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 21185029 + ... + 21232379.

It is an arithmetic number, because the mean of its divisors is an integer number (22739791770).

Almost surely, 2^{1004253343104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004253343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455346673280).

1004253343104 is an abundant number, since it is smaller than the sum of its proper divisors (1906440003456).

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

1004253343104 is a wasteful number, since it uses less digits than its factorization.

1004253343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52400 (or 52388 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1004253343104 its reverse (4013433524001), we get a palindrome (5017686867105).

The spelling of 1004253343104 in words is "one trillion, four billion, two hundred fifty-three million, three hundred forty-three thousand, one hundred four".