4133110120 has 128 divisors (see below), whose sum is σ = 9999728640. Its totient is φ = 1533692160.

The previous prime is 4133110117. The next prime is 4133110127. The reversal of 4133110120 is 210113314.

It is a junction number, because it is equal to n+sod(n) for n = 4133110094 and 4133110103.

It is not an unprimeable number, because it can be changed into a prime (4133110127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7555687 + ... + 7556233.

It is an arithmetic number, because the mean of its divisors is an integer number (78122880).

Almost surely, 2^4133110120 is an apocalyptic number.

4133110120 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 4133110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999864320).

4133110120 is an abundant number, since it is smaller than the sum of its proper divisors (5866618520).

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

4133110120 is a wasteful number, since it uses less digits than its factorization.

4133110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 4133110120 is about 64289.2690890167. The cubic root of 4133110120 is about 1604.8175269629.

Adding to 4133110120 its reverse (210113314), we get a palindrome (4343223434).

The spelling of 4133110120 in words is "four billion, one hundred thirty-three million, one hundred ten thousand, one hundred twenty".