4056160320 has 448 divisors, whose sum is σ = 14886432000. Its totient is φ = 1039122432.

The previous prime is 4056160307. The next prime is 4056160327. The reversal of 4056160320 is 230616504.

4056160320 is a `hidden beast` number, since 4 + 0 + 56 + 1 + 603 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4056160327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37212426 + ... + 37212534.

Almost surely, 2^4056160320 is an apocalyptic number.

4056160320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4056160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443216000).

4056160320 is an abundant number, since it is smaller than the sum of its proper divisors (10830271680).

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

4056160320 is a wasteful number, since it uses less digits than its factorization.

4056160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4056160320 is about 63687.9919608084. The cubic root of 4056160320 is about 1594.7956316147.

Adding to 4056160320 its reverse (230616504), we get a palindrome (4286776824).

The spelling of 4056160320 in words is "four billion, fifty-six million, one hundred sixty thousand, three hundred twenty".