4100301120 has 224 divisors, whose sum is σ = 13518489600. Its totient is φ = 1052190720.

The previous prime is 4100301109. The next prime is 4100301133. The reversal of 4100301120 is 211030014.

It is a happy number.

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 = 4100301096 and 4100301105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2930181 + ... + 2931579.

It is an arithmetic number, because the mean of its divisors is an integer number (60350400).

Almost surely, 2^4100301120 is an apocalyptic number.

4100301120 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 4100301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759244800).

4100301120 is an abundant number, since it is smaller than the sum of its proper divisors (9418188480).

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

4100301120 is a wasteful number, since it uses less digits than its factorization.

4100301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4100301120 is about 64033.5936833159. The cubic root of 4100301120 is about 1600.5598457518.

Adding to 4100301120 its reverse (211030014), we get a palindrome (4311331134).

The spelling of 4100301120 in words is "four billion, one hundred million, three hundred one thousand, one hundred twenty".