3001997142144 has 768 divisors, whose sum is σ = 11789042952960. Its totient is φ = 707943628800.

The previous prime is 3001997142143. The next prime is 3001997142167. The reversal of 3001997142144 is 4412417991003.

3001997142144 is a `hidden beast` number, since 30 + 0 + 1 + 99 + 71 + 421 + 44 = 666.

It is a super-3 number, since 3×3001997142144³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3001997142144.

It is not an unprimeable number, because it can be changed into a prime (3001997142143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70320934 + ... + 70363610.

It is an arithmetic number, because the mean of its divisors is an integer number (15350316345).

Almost surely, 2^{3001997142144} 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 3001997142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894521476480).

3001997142144 is an abundant number, since it is smaller than the sum of its proper divisors (8787045810816).

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

3001997142144 is a wasteful number, since it uses less digits than its factorization.

3001997142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42789 (or 42774 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3001997142144 in words is "three trillion, one billion, nine hundred ninety-seven million, one hundred forty-two thousand, one hundred forty-four".