4120441164 has 288 divisors, whose sum is σ = 13355596800. Its totient is φ = 1106493696.

The previous prime is 4120441139. The next prime is 4120441207. The reversal of 4120441164 is 4611440214.

4120441164 is a `hidden beast` number, since 41 + 20 + 441 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5667369 + ... + 5668095.

It is an arithmetic number, because the mean of its divisors is an integer number (46373600).

Almost surely, 2^4120441164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120441164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6677798400).

4120441164 is an abundant number, since it is smaller than the sum of its proper divisors (9235155636).

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

4120441164 is a wasteful number, since it uses less digits than its factorization.

4120441164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4120441164 is about 64190.6625920001. The cubic root of 4120441164 is about 1603.1761341646.

Adding to 4120441164 its reverse (4611440214), we get a palindrome (8731881378).

The spelling of 4120441164 in words is "four billion, one hundred twenty million, four hundred forty-one thousand, one hundred sixty-four".