3001013044000 has 192 divisors, whose sum is σ = 7737101648640. Its totient is φ = 1141792819200.

The previous prime is 3001013043983. The next prime is 3001013044033. The reversal of 3001013044000 is 4403101003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16376884 + ... + 16559116.

It is an arithmetic number, because the mean of its divisors is an integer number (40297404420).

Almost surely, 2^{3001013044000} 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 3001013044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868550824320).

3001013044000 is an abundant number, since it is smaller than the sum of its proper divisors (4736088604640).

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

3001013044000 is a wasteful number, since it uses less digits than its factorization.

3001013044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182460 (or 182442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3001013044000 its reverse (4403101003), we get a palindrome (3005416145003).

The spelling of 3001013044000 in words is "three trillion, one billion, thirteen million, forty-four thousand".