1003011442304 has 64 divisors (see below), whose sum is σ = 2020258169280. Its totient is φ = 495979161600.

The previous prime is 1003011442267. The next prime is 1003011442319. The reversal of 1003011442304 is 4032441103001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1003011442304.

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, 9983039 + ... + 10083009.

It is an arithmetic number, because the mean of its divisors is an integer number (31566533895).

Almost surely, 2^{1003011442304} 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 1003011442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010129084640).

1003011442304 is an abundant number, since it is smaller than the sum of its proper divisors (1017246726976).

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

1003011442304 is an equidigital number, since it uses as much as digits as its factorization.

1003011442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100849 (or 100837 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1003011442304 its reverse (4032441103001), we get a palindrome (5035452545305).

The spelling of 1003011442304 in words is "one trillion, three billion, eleven million, four hundred forty-two thousand, three hundred four".