4055184000 has 768 divisors, whose sum is σ = 17375904000. Its totient is φ = 920678400.

The previous prime is 4055183947. The next prime is 4055184043. The reversal of 4055184000 is 4815504.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27215926 + ... + 27216074.

It is an arithmetic number, because the mean of its divisors is an integer number (22624875).

Almost surely, 2^4055184000 is an apocalyptic number.

4055184000 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 4055184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687952000).

4055184000 is an abundant number, since it is smaller than the sum of its proper divisors (13320720000).

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

4055184000 is an equidigital number, since it uses as much as digits as its factorization.

4055184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4055184000 is about 63680.3266323281. The cubic root of 4055184000 is about 1594.6676652877.

Adding to 4055184000 its reverse (4815504), we get a palindrome (4059999504).

The spelling of 4055184000 in words is "four billion, fifty-five million, one hundred eighty-four thousand".