3144120313140 has 216 divisors, whose sum is σ = 9977075017728. Its totient is φ = 801397618560.

The previous prime is 3144120313073. The next prime is 3144120313211. The reversal of 3144120313140 is 413130214413.

3144120313140 is a `hidden beast` number, since 3 + 1 + 441 + 203 + 1 + 3 + 14 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140057397 + ... + 140079843.

Almost surely, 2^{3144120313140} is an apocalyptic number.

3144120313140 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 3144120313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988537508864).

3144120313140 is an abundant number, since it is smaller than the sum of its proper divisors (6832954704588).

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

3144120313140 is a wasteful number, since it uses less digits than its factorization.

3144120313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23979 (or 23951 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3144120313140 its reverse (413130214413), we get a palindrome (3557250527553).

The spelling of 3144120313140 in words is "three trillion, one hundred forty-four billion, one hundred twenty million, three hundred thirteen thousand, one hundred forty".