3144055320000 has 420 divisors, whose sum is σ = 12869986173616. Its totient is φ = 718640640000.

The previous prime is 3144055319903. The next prime is 3144055320011. The reversal of 3144055320000 is 235504413.

3144055320000 is a `hidden beast` number, since 3 + 1 + 4 + 405 + 53 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1896180 + ... + 3143820.

Almost surely, 2^{3144055320000} is an apocalyptic number.

3144055320000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144055320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434993086808).

3144055320000 is an abundant number, since it is smaller than the sum of its proper divisors (9725930853616).

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

3144055320000 is a wasteful number, since it uses less digits than its factorization.

3144055320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247686 (or 1247658 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 3144055320000 in words is "three trillion, one hundred forty-four billion, fifty-five million, three hundred twenty thousand".