1001140330304 has 56 divisors (see below), whose sum is σ = 2074260560640. Its totient is φ = 478518188544.

The previous prime is 1001140330303. The next prime is 1001140330361. The reversal of 1001140330304 is 4030330411001.

It is a super-2 number, since 2×1001140330304² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001140330303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2253017 + ... + 2660519.

Almost surely, 2^{1001140330304} 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 1001140330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037130280320).

1001140330304 is an abundant number, since it is smaller than the sum of its proper divisors (1073120230336).

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

1001140330304 is a wasteful number, since it uses less digits than its factorization.

1001140330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409207 (or 409197 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1001140330304 its reverse (4030330411001), we get a palindrome (5031470741305).

The spelling of 1001140330304 in words is "one trillion, one billion, one hundred forty million, three hundred thirty thousand, three hundred four".