4172057856 has 216 divisors, whose sum is σ = 13179446280. Its totient is φ = 1263403008.

The previous prime is 4172057819. The next prime is 4172057863. The reversal of 4172057856 is 6587502714.

4172057856 is a `hidden beast` number, since 4 + 1 + 7 + 20 + 578 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 337971456 + 3834086400 = 18384^2 + 61920^2 .

It is a super-2 number, since 2×4172057856² = 34812133507622633472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134036 + ... + 1137708.

It is an arithmetic number, because the mean of its divisors is an integer number (61015955).

Almost surely, 2^4172057856 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 4172057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589723140).

4172057856 is an abundant number, since it is smaller than the sum of its proper divisors (9007388424).

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

4172057856 is a wasteful number, since it uses less digits than its factorization.

4172057856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 4172057856 is about 64591.4689103755. The cubic root of 4172057856 is about 1609.8426933739.

The spelling of 4172057856 in words is "four billion, one hundred seventy-two million, fifty-seven thousand, eight hundred fifty-six".