4120412160 has 256 divisors, whose sum is σ = 13476093120. Its totient is φ = 1074790400.

The previous prime is 4120412159. The next prime is 4120412173. The reversal of 4120412160 is 612140214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40796110 + ... + 40796210.

Almost surely, 2^4120412160 is an apocalyptic number.

4120412160 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 4120412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738046560).

4120412160 is an abundant number, since it is smaller than the sum of its proper divisors (9355680960).

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

4120412160 is an equidigital number, since it uses as much as digits as its factorization.

4120412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4120412160 is about 64190.4366708936. The cubic root of 4120412160 is about 1603.1723725423.

Adding to 4120412160 its reverse (612140214), we get a palindrome (4732552374).

The spelling of 4120412160 in words is "four billion, one hundred twenty million, four hundred twelve thousand, one hundred sixty".