4055068320 has 96 divisors (see below), whose sum is σ = 12871172160. Its totient is φ = 1073080320.

The previous prime is 4055068301. The next prime is 4055068321. The reversal of 4055068320 is 238605504.

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 (4055068321) 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 15 ways as a sum of consecutive naturals, for example, 30636 + ... + 95124.

It is an arithmetic number, because the mean of its divisors is an integer number (134074710).

Almost surely, 2^4055068320 is an apocalyptic number.

4055068320 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 4055068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435586080).

4055068320 is an abundant number, since it is smaller than the sum of its proper divisors (8816103840).

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

4055068320 is a wasteful number, since it uses less digits than its factorization.

4055068320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64638 (or 64630 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 4055068320 is about 63679.4183390521. The cubic root of 4055068320 is about 1594.6525017415.

The spelling of 4055068320 in words is "four billion, fifty-five million, sixty-eight thousand, three hundred twenty".