4153105120 has 96 divisors (see below), whose sum is σ = 10568638080. Its totient is φ = 1537159680.

The previous prime is 4153105111. The next prime is 4153105141. The reversal of 4153105120 is 215013514.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4153105091 and 4153105100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114835 + ... + 146605.

It is an arithmetic number, because the mean of its divisors is an integer number (110089980).

Almost surely, 2^4153105120 is an apocalyptic number.

4153105120 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 4153105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284319040).

4153105120 is an abundant number, since it is smaller than the sum of its proper divisors (6415532960).

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

4153105120 is a wasteful number, since it uses less digits than its factorization.

4153105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31848 (or 31840 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 4153105120 is about 64444.5895324037. The cubic root of 4153105120 is about 1607.4012729336.

Adding to 4153105120 its reverse (215013514), we get a palindrome (4368118634).

The spelling of 4153105120 in words is "four billion, one hundred fifty-three million, one hundred five thousand, one hundred twenty".