4056697182384 has 960 divisors, whose sum is σ = 15099833548800. Its totient is φ = 1045148832000.

The previous prime is 4056697182359. The next prime is 4056697182403. The reversal of 4056697182384 is 4832817966504.

4056697182384 is a `hidden beast` number, since 4 + 0 + 56 + 69 + 71 + 82 + 384 = 666.

4056697182384 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1921693489 + ... + 1921695599.

It is an arithmetic number, because the mean of its divisors is an integer number (15728993280).

It is a 1-persistent number, because it is pandigital, but 2⋅4056697182384 = 8113394364768 is not.

Almost surely, 2^{4056697182384} is an apocalyptic number.

4056697182384 is a gapful number since it is divisible by the number (44) 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 4056697182384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549916774400).

4056697182384 is an abundant number, since it is smaller than the sum of its proper divisors (11043136366416).

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

4056697182384 is a wasteful number, since it uses less digits than its factorization.

4056697182384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 4056697182384 in words is "four trillion, fifty-six billion, six hundred ninety-seven million, one hundred eighty-two thousand, three hundred eighty-four".