3001141332444 has 96 divisors (see below), whose sum is σ = 7410646075392. Its totient is φ = 943759872000.

The previous prime is 3001141332443. The next prime is 3001141332451. The reversal of 3001141332444 is 4442331411003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001141332443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19614124 + ... + 19766540.

It is an arithmetic number, because the mean of its divisors is an integer number (77194229952).

Almost surely, 2^{3001141332444} is an apocalyptic number.

It is an amenable number.

3001141332444 is an abundant number, since it is smaller than the sum of its proper divisors (4409504742948).

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

3001141332444 is a wasteful number, since it uses less digits than its factorization.

3001141332444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153787 (or 153785 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 3001141332444 its reverse (4442331411003), we get a palindrome (7443472743447).

The spelling of 3001141332444 in words is "three trillion, one billion, one hundred forty-one million, three hundred thirty-two thousand, four hundred forty-four".