4056 has 24 divisors (see below), whose sum is σ = 10980. Its totient is φ = 1248.

The previous prime is 4051. The next prime is 4057. The reversal of 4056 is 6504.

4056 = T₃ + T₄ + ... + T₂₈.

4056 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×4056² = 32902272, which contains 22 as substring.

It is a plaindrome in base 14.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4051) by changing a digit.

4056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306 + ... + 318.

2⁴⁰⁵⁶ 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 4056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490).

4056 is an abundant number, since it is smaller than the sum of its proper divisors (6924).

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

4056 is a wasteful number, since it uses less digits than its factorization.

4056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4056 is about 63.6867333124. The cubic root of 4056 is about 15.9477461987.

The spelling of 4056 in words is "four thousand, fifty-six", and thus it is an eban number.