4055602320 has 480 divisors, whose sum is σ = 17114333184. Its totient is φ = 836121600.

The previous prime is 4055602217. The next prime is 4055602321. The reversal of 4055602320 is 232065504.

4055602320 is a `hidden beast` number, since 4 + 0 + 55 + 602 + 3 + 2 + 0 = 666.

4055602320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4055602321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10588849 + ... + 10589231.

Almost surely, 2^4055602320 is an apocalyptic number.

4055602320 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 4055602320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8557166592).

4055602320 is an abundant number, since it is smaller than the sum of its proper divisors (13058730864).

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

4055602320 is a wasteful number, since it uses less digits than its factorization.

4055602320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4055602320 is about 63683.6110785185. The cubic root of 4055602320 is about 1594.7224970324.

Adding to 4055602320 its reverse (232065504), we get a palindrome (4287667824).

The spelling of 4055602320 in words is "four billion, fifty-five million, six hundred two thousand, three hundred twenty".