3124210042140 has 384 divisors, whose sum is σ = 9781266087936. Its totient is φ = 738751104000.

The previous prime is 3124210042133. The next prime is 3124210042147. The reversal of 3124210042140 is 412400124213.

3124210042140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3124210042133) and next prime (3124210042147).

It is a self number, because there is not a number n which added to its sum of digits gives 3124210042140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124210042147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1993751637 + ... + 1993753203.

It is an arithmetic number, because the mean of its divisors is an integer number (25472047104).

Almost surely, 2^{3124210042140} is an apocalyptic number.

3124210042140 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 3124210042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890633043968).

3124210042140 is an abundant number, since it is smaller than the sum of its proper divisors (6657056045796).

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

3124210042140 is a wasteful number, since it uses less digits than its factorization.

3124210042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3124210042140 its reverse (412400124213), we get a palindrome (3536610166353).

The spelling of 3124210042140 in words is "three trillion, one hundred twenty-four billion, two hundred ten million, forty-two thousand, one hundred forty".