4110720480 has 144 divisors (see below), whose sum is σ = 14048418384. Its totient is φ = 1094584320.

The previous prime is 4110720457. The next prime is 4110720491. The reversal of 4110720480 is 840270114.

4110720480 is a `hidden beast` number, since 4 + 110 + 72 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232415 + ... + 1235745.

It is an arithmetic number, because the mean of its divisors is an integer number (97558461).

Almost surely, 2^4110720480 is an apocalyptic number.

4110720480 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 4110720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024209192).

4110720480 is an abundant number, since it is smaller than the sum of its proper divisors (9937697904).

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

4110720480 is a wasteful number, since it uses less digits than its factorization.

4110720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4110720480 is about 64114.9006082050. The cubic root of 4110720480 is about 1601.9144375835.

Adding to 4110720480 its reverse (840270114), we get a palindrome (4950990594).

The spelling of 4110720480 in words is "four billion, one hundred ten million, seven hundred twenty thousand, four hundred eighty".