4413311120 has 40 divisors (see below), whose sum is σ = 10264023864. Its totient is φ = 1764795392.

The previous prime is 4413311117. The next prime is 4413311167. The reversal of 4413311120 is 211133144.

It can be written as a sum of positive squares in 4 ways, for example, as 1196606464 + 3216704656 = 34592^2 + 56716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4413311092 and 4413311101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365012 + ... + 376908.

Almost surely, 2^4413311120 is an apocalyptic number.

4413311120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4413311120 is an abundant number, since it is smaller than the sum of its proper divisors (5850712744).

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

4413311120 is a wasteful number, since it uses less digits than its factorization.

4413311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16547 (or 16541 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4413311120 is about 66432.7563781603. The cubic root of 4413311120 is about 1640.2933145809.

Adding to 4413311120 its reverse (211133144), we get a palindrome (4624444264).

The spelling of 4413311120 in words is "four billion, four hundred thirteen million, three hundred eleven thousand, one hundred twenty".