3002141144000 has 112 divisors (see below), whose sum is σ = 7462446563520. Its totient is φ = 1196391449600.

The previous prime is 3002141143927. The next prime is 3002141144029. The reversal of 3002141144000 is 4411412003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1454477 + ... + 2849523.

Almost surely, 2^{3002141144000} 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 3002141144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731223281760).

3002141144000 is an abundant number, since it is smaller than the sum of its proper divisors (4460305419520).

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

3002141144000 is a wasteful number, since it uses less digits than its factorization.

3002141144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395343 (or 1395323 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 3002141144000 its reverse (4411412003), we get a palindrome (3006552556003).

The spelling of 3002141144000 in words is "three trillion, two billion, one hundred forty-one million, one hundred forty-four thousand".