4110201120 has 96 divisors (see below), whose sum is σ = 12984971328. Its totient is φ = 1092850688.

The previous prime is 4110201119. The next prime is 4110201127. The reversal of 4110201120 is 211020114.

It is a happy number.

4110201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4110201096 and 4110201105.

It is not an unprimeable number, because it can be changed into a prime (4110201127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154222 + ... + 178898.

It is an arithmetic number, because the mean of its divisors is an integer number (135260118).

Almost surely, 2^4110201120 is an apocalyptic number.

4110201120 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 4110201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492485664).

4110201120 is an abundant number, since it is smaller than the sum of its proper divisors (8874770208).

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

4110201120 is a wasteful number, since it uses less digits than its factorization.

4110201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25042 (or 25034 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 4110201120 is about 64110.8502517320. The cubic root of 4110201120 is about 1601.8469712820.

Adding to 4110201120 its reverse (211020114), we get a palindrome (4321221234).

The spelling of 4110201120 in words is "four billion, one hundred ten million, two hundred one thousand, one hundred twenty".