4056164461440 has 2304 divisors, whose sum is σ = 18370126494720. Its totient is φ = 816622829568.

The previous prime is 4056164461439. The next prime is 4056164461457. The reversal of 4056164461440 is 441644616504.

4056164461440 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 164 + 46 + 1 + 440 = 666.

4056164461440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7415291247 + ... + 7415291793.

It is an arithmetic number, because the mean of its divisors is an integer number (7973145180).

Almost surely, 2^{4056164461440} is an apocalyptic number.

4056164461440 is a gapful number since it is divisible by the number (40) 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 4056164461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9185063247360).

4056164461440 is an abundant number, since it is smaller than the sum of its proper divisors (14313962033280).

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

4056164461440 is a wasteful number, since it uses less digits than its factorization.

4056164461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4056164461440 in words is "four trillion, fifty-six billion, one hundred sixty-four million, four hundred sixty-one thousand, four hundred forty".