3142975324160 has 256 divisors, whose sum is σ = 8641875009600. Its totient is φ = 1074933006336.

The previous prime is 3142975324141. The next prime is 3142975324207. The reversal of 3142975324160 is 614235792413.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496595876 + ... + 496602204.

Almost surely, 2^{3142975324160} 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 3142975324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320937504800).

3142975324160 is an abundant number, since it is smaller than the sum of its proper divisors (5498899685440).

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

3142975324160 is an frugal number, since it uses more digits than its factorization.

3142975324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804 (or 6776 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 3142975324160 in words is "three trillion, one hundred forty-two billion, nine hundred seventy-five million, three hundred twenty-four thousand, one hundred sixty".