4056604800 has 96 divisors (see below), whose sum is σ = 13361473680. Its totient is φ = 1081758720.

The previous prime is 4056604777. The next prime is 4056604807. The reversal of 4056604800 is 84066504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4056604807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 201682 + ... + 220881.

Almost surely, 2^4056604800 is an apocalyptic number.

4056604800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4056604800 is an abundant number, since it is smaller than the sum of its proper divisors (9304868880).

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

4056604800 is a wasteful number, since it uses less digits than its factorization.

4056604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422590 (or 422573 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4056604800 is about 63691.4813770256. The cubic root of 4056604800 is about 1594.8538828356.

It can be divided in two parts, 4056 and 604800, that added together give a triangular number (608856 = T₁₁₀₃).

The spelling of 4056604800 in words is "four billion, fifty-six million, six hundred four thousand, eight hundred".