4057055676 has 72 divisors (see below), whose sum is σ = 10506800304. Its totient is φ = 1319270400.

The previous prime is 4057055671. The next prime is 4057055699. The reversal of 4057055676 is 6765507504.

4057055676 is a `hidden beast` number, since 4 + 0 + 570 + 5 + 5 + 6 + 76 = 666.

It is a super-3 number, since 3×4057055676³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057055671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2477530 + ... + 2479166.

It is an arithmetic number, because the mean of its divisors is an integer number (145927782).

Almost surely, 2^4057055676 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 4057055676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253400152).

4057055676 is an abundant number, since it is smaller than the sum of its proper divisors (6449744628).

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

4057055676 is a wasteful number, since it uses less digits than its factorization.

4057055676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 4057055676 is about 63695.0208101073. The cubic root of 4057055676 is about 1594.9129679355.

The spelling of 4057055676 in words is "four billion, fifty-seven million, fifty-five thousand, six hundred seventy-six".