4414160520 has 384 divisors, whose sum is σ = 18195840000. Its totient is φ = 901347840.

The previous prime is 4414160519. The next prime is 4414160521. The reversal of 4414160520 is 250614144.

4414160520 is a `hidden beast` number, since 4 + 41 + 41 + 60 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (4414160519) and next prime (4414160521).

It is not an unprimeable number, because it can be changed into a prime (4414160521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1634131 + ... + 1636829.

It is an arithmetic number, because the mean of its divisors is an integer number (47385000).

Almost surely, 2^4414160520 is an apocalyptic number.

4414160520 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 4414160520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097920000).

4414160520 is an abundant number, since it is smaller than the sum of its proper divisors (13781679480).

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

4414160520 is a wasteful number, since it uses less digits than its factorization.

4414160520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4414160520 is about 66439.1490011725. The cubic root of 4414160520 is about 1640.3985398663.

Adding to 4414160520 its reverse (250614144), we get a palindrome (4664774664).

The spelling of 4414160520 in words is "four billion, four hundred fourteen million, one hundred sixty thousand, five hundred twenty".