1004023203344 has 120 divisors (see below), whose sum is σ = 2401356180600. Its totient is φ = 404079771648.

The previous prime is 1004023203317. The next prime is 1004023203371. The reversal of 1004023203344 is 4433023204001.

It is an interprime number because it is at equal distance from previous prime (1004023203317) and next prime (1004023203371).

It can be written as a sum of positive squares in 4 ways, for example, as 118707811600 + 885315391744 = 344540^2 + 940912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5900384 + ... + 6068160.

It is an arithmetic number, because the mean of its divisors is an integer number (20011301505).

Almost surely, 2^{1004023203344} is an apocalyptic number.

1004023203344 is a gapful number since it is divisible by the number (14) 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 1004023203344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200678090300).

1004023203344 is an abundant number, since it is smaller than the sum of its proper divisors (1397332977256).

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

1004023203344 is a wasteful number, since it uses less digits than its factorization.

1004023203344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168265 (or 168252 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 1004023203344 its reverse (4433023204001), we get a palindrome (5437046407345).

The spelling of 1004023203344 in words is "one trillion, four billion, twenty-three million, two hundred three thousand, three hundred forty-four".