4041218160 has 180 divisors, whose sum is σ = 15787692648. Its totient is φ = 923698944.

The previous prime is 4041218149. The next prime is 4041218173. The reversal of 4041218160 is 618121404.

It is a happy number.

4041218160 is a `hidden beast` number, since 404 + 121 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21994 + ... + 92553.

Almost surely, 2^4041218160 is an apocalyptic number.

4041218160 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 4041218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893846324).

4041218160 is an abundant number, since it is smaller than the sum of its proper divisors (11746474488).

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

4041218160 is a wasteful number, since it uses less digits than its factorization.

4041218160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114580 (or 114564 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4041218160 is about 63570.5762125844. The cubic root of 4041218160 is about 1592.8349092346.

Adding to 4041218160 its reverse (618121404), we get a palindrome (4659339564).

The spelling of 4041218160 in words is "four billion, forty-one million, two hundred eighteen thousand, one hundred sixty".