4056442100 has 36 divisors (see below), whose sum is σ = 8923077324. Its totient is φ = 1600346880.

The previous prime is 4056442087. The next prime is 4056442121. The reversal of 4056442100 is 12446504.

4056442100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 31047184 + 4025394916 = 5572^2 + 63446^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4056442100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270539 + ... + 285138.

It is an arithmetic number, because the mean of its divisors is an integer number (247863259).

Almost surely, 2^4056442100 is an apocalyptic number.

It is an amenable number.

4056442100 is an abundant number, since it is smaller than the sum of its proper divisors (4866635224).

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

4056442100 is a wasteful number, since it uses less digits than its factorization.

4056442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555764 (or 555757 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4056442100 is about 63690.2041133485. The cubic root of 4056442100 is about 1594.8325607194.

Adding to 4056442100 its reverse (12446504), we get a palindrome (4068888604).

The spelling of 4056442100 in words is "four billion, fifty-six million, four hundred forty-two thousand, one hundred".