4056544224 has 72 divisors (see below), whose sum is σ = 12037373712. Its totient is φ = 1293388800.

The previous prime is 4056544207. The next prime is 4056544229. The reversal of 4056544224 is 4224456504.

4056544224 is a `hidden beast` number, since 40 + 56 + 544 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056544229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299577 + ... + 312824.

It is an arithmetic number, because the mean of its divisors is an integer number (167185746).

Almost surely, 2^4056544224 is an apocalyptic number.

It is an amenable number.

4056544224 is an abundant number, since it is smaller than the sum of its proper divisors (7980829488).

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

4056544224 is a wasteful number, since it uses less digits than its factorization.

4056544224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612440 (or 612429 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4056544224 is about 63691.0058328490. The cubic root of 4056544224 is about 1594.8459443127.

The spelling of 4056544224 in words is "four billion, fifty-six million, five hundred forty-four thousand, two hundred twenty-four".