4056160320000 has 1600 divisors, whose sum is σ = 15608541168000. Its totient is φ = 1039122432000.

The previous prime is 4056160319987. The next prime is 4056160320031. The reversal of 4056160320000 is 230616504.

4056160320000 is a `hidden beast` number, since 4 + 0 + 56 + 1 + 603 + 2 + 0 + 0 + 0 + 0 = 666.

4056160320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37212479946 + ... + 37212480054.

It is an arithmetic number, because the mean of its divisors is an integer number (9755338230).

Almost surely, 2^{4056160320000} is an apocalyptic number.

4056160320000 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 4056160320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804270584000).

4056160320000 is an abundant number, since it is smaller than the sum of its proper divisors (11552380848000).

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

4056160320000 is an equidigital number, since it uses as much as digits as its factorization.

4056160320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 251 counting only the distinct ones).

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

Adding to 4056160320000 its reverse (230616504), we get a palindrome (4056390936504).

The spelling of 4056160320000 in words is "four trillion, fifty-six billion, one hundred sixty million, three hundred twenty thousand".