4055861160 has 160 divisors (see below), whose sum is σ = 14680983240. Its totient is φ = 998355456.

The previous prime is 4055861143. The next prime is 4055861189. The reversal of 4055861160 is 611685504.

4055861160 is a `hidden beast` number, since 4 + 0 + 5 + 586 + 11 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2545606116 + 1510255044 = 50454^2 + 38862^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6027 + ... + 90266.

Almost surely, 2^4055861160 is an apocalyptic number.

4055861160 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 4055861160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340491620).

4055861160 is an abundant number, since it is smaller than the sum of its proper divisors (10625122080).

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

4055861160 is a wasteful number, since it uses less digits than its factorization.

4055861160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96329 (or 96316 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4055861160 is about 63685.6432800989. The cubic root of 4055861160 is about 1594.7564228760.

The spelling of 4055861160 in words is "four billion, fifty-five million, eight hundred sixty-one thousand, one hundred sixty".