4027856943168 has 392 divisors, whose sum is σ = 12607975479960. Its totient is φ = 1274447831040.

The previous prime is 4027856943161. The next prime is 4027856943181. The reversal of 4027856943168 is 8613496587204.

4027856943168 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 8 + 569 + 4 + 3 + 1 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149824733184 + 3878032209984 = 387072^2 + 1969272^2 .

It is not an unprimeable number, because it can be changed into a prime (4027856943161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 70748698 + ... + 70805606.

It is an arithmetic number, because the mean of its divisors is an integer number (32163202755).

It is a 1-persistent number, because it is pandigital, but 2⋅4027856943168 = 8055713886336 is not.

Almost surely, 2^{4027856943168} is an apocalyptic number.

4027856943168 is a gapful number since it is divisible by the number (48) 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 4027856943168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303987739980).

4027856943168 is an abundant number, since it is smaller than the sum of its proper divisors (8580118536792).

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

4027856943168 is an equidigital number, since it uses as much as digits as its factorization.

4027856943168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57017 (or 56992 counting only the distinct ones).

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

The spelling of 4027856943168 in words is "four trillion, twenty-seven billion, eight hundred fifty-six million, nine hundred forty-three thousand, one hundred sixty-eight".