4055164800 has 192 divisors, whose sum is σ = 13528300800. Its totient is φ = 1067489280.

The previous prime is 4055164741. The next prime is 4055164811. The reversal of 4055164800 is 84615504.

4055164800 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755727 + ... + 761073.

It is an arithmetic number, because the mean of its divisors is an integer number (70459900).

Almost surely, 2^4055164800 is an apocalyptic number.

4055164800 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 4055164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764150400).

4055164800 is an abundant number, since it is smaller than the sum of its proper divisors (9473136000).

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

4055164800 is a wasteful number, since it uses less digits than its factorization.

4055164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 4055164800 is about 63680.1758791541. The cubic root of 4055164800 is about 1594.6651485365.

The spelling of 4055164800 in words is "four billion, fifty-five million, one hundred sixty-four thousand, eight hundred".