4056144671124 has 768 divisors, whose sum is σ = 13635917568000. Its totient is φ = 1035312316416.

The previous prime is 4056144671123. The next prime is 4056144671191. The reversal of 4056144671124 is 4211764416504.

4056144671124 is a `hidden beast` number, since 4 + 0 + 5 + 61 + 4 + 467 + 1 + 124 = 666.

4056144671124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4056144671124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056144671123) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4151631724 + ... + 4151632700.

It is an arithmetic number, because the mean of its divisors is an integer number (17755101000).

Almost surely, 2^{4056144671124} 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 4056144671124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6817958784000).

4056144671124 is an abundant number, since it is smaller than the sum of its proper divisors (9579772896876).

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

4056144671124 is a wasteful number, since it uses less digits than its factorization.

4056144671124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4056144671124 in words is "four trillion, fifty-six billion, one hundred forty-four million, six hundred seventy-one thousand, one hundred twenty-four".