4264611120 has 1080 divisors, whose sum is σ = 19504032912. Its totient is φ = 862202880.

The previous prime is 4264611107. The next prime is 4264611139. The reversal of 4264611120 is 211164624.

4264611120 is a `hidden beast` number, since 4 + 2 + 646 + 1 + 1 + 12 + 0 = 666.

4264611120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 115259742 + ... + 115259778.

Almost surely, 2^4264611120 is an apocalyptic number.

4264611120 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 4264611120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752016456).

4264611120 is an abundant number, since it is smaller than the sum of its proper divisors (15239421792).

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

4264611120 is a wasteful number, since it uses less digits than its factorization.

4264611120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4264611120 is about 65303.9900771768. The cubic root of 4264611120 is about 1621.6600267715.

Adding to 4264611120 its reverse (211164624), we get a palindrome (4475775744).

The spelling of 4264611120 in words is "four billion, two hundred sixty-four million, six hundred eleven thousand, one hundred twenty".