4186412160 has 512 divisors, whose sum is σ = 16497561600. Its totient is φ = 881836032.

The previous prime is 4186412149. The next prime is 4186412173. The reversal of 4186412160 is 612146814.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8964247 + ... + 8964713.

It is an arithmetic number, because the mean of its divisors is an integer number (32221800).

Almost surely, 2^4186412160 is an apocalyptic number.

4186412160 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 4186412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248780800).

4186412160 is an abundant number, since it is smaller than the sum of its proper divisors (12311149440).

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

4186412160 is a wasteful number, since it uses less digits than its factorization.

4186412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4186412160 is about 64702.4895966144. The cubic root of 4186412160 is about 1611.6868448617.

Adding to 4186412160 its reverse (612146814), we get a palindrome (4798558974).

The spelling of 4186412160 in words is "four billion, one hundred eighty-six million, four hundred twelve thousand, one hundred sixty".