4120330320 has 240 divisors, whose sum is σ = 14164450560. Its totient is φ = 1073120256.

The previous prime is 4120330309. The next prime is 4120330327. The reversal of 4120330320 is 230330214.

4120330320 is a `hidden beast` number, since 4 + 12 + 0 + 330 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4120330320² = 33954243891822604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4120330293 and 4120330302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120330327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6085822 + ... + 6086498.

It is an arithmetic number, because the mean of its divisors is an integer number (59018544).

Almost surely, 2^4120330320 is an apocalyptic number.

4120330320 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 4120330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082225280).

4120330320 is an abundant number, since it is smaller than the sum of its proper divisors (10044120240).

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

4120330320 is a wasteful number, since it uses less digits than its factorization.

4120330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 4120330320 is about 64189.7991895909. The cubic root of 4120330320 is about 1603.1617583537.

Adding to 4120330320 its reverse (230330214), we get a palindrome (4350660534).

The spelling of 4120330320 in words is "four billion, one hundred twenty million, three hundred thirty thousand, three hundred twenty".