4161827120 has 320 divisors, whose sum is σ = 11845491840. Its totient is φ = 1341849600.

The previous prime is 4161827107. The next prime is 4161827129. The reversal of 4161827120 is 217281614.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4161827129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22993430 + ... + 22993610.

It is an arithmetic number, because the mean of its divisors is an integer number (37017162).

Almost surely, 2^4161827120 is an apocalyptic number.

4161827120 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 4161827120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922745920).

4161827120 is an abundant number, since it is smaller than the sum of its proper divisors (7683664720).

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

4161827120 is a wasteful number, since it uses less digits than its factorization.

4161827120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 4161827120 is about 64512.2245779821. The cubic root of 4161827120 is about 1608.5257288580.

The spelling of 4161827120 in words is "four billion, one hundred sixty-one million, eight hundred twenty-seven thousand, one hundred twenty".