4120103680 has 288 divisors, whose sum is σ = 13033198080. Its totient is φ = 1208156160.

The previous prime is 4120103641. The next prime is 4120103693. The reversal of 4120103680 is 863010214.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674291 + ... + 1676749.

It is an arithmetic number, because the mean of its divisors is an integer number (45254160).

Almost surely, 2^4120103680 is an apocalyptic number.

4120103680 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 4120103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516599040).

4120103680 is an abundant number, since it is smaller than the sum of its proper divisors (8913094400).

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

4120103680 is a wasteful number, since it uses less digits than its factorization.

4120103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4120103680 is about 64188.0337757747. The cubic root of 4120103680 is about 1603.1323636843.

Adding to 4120103680 its reverse (863010214), we get a palindrome (4983113894).

The spelling of 4120103680 in words is "four billion, one hundred twenty million, one hundred three thousand, six hundred eighty".