4516111440 has 120 divisors (see below), whose sum is σ = 15195185928. Its totient is φ = 1202027520.

The previous prime is 4516111381. The next prime is 4516111441. The reversal of 4516111440 is 441116154.

4516111440 is a `hidden beast` number, since 4 + 5 + 1 + 611 + 1 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 767733264 + 3748378176 = 27708^2 + 61224^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4516111441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395410 + ... + 406670.

Almost surely, 2^4516111440 is an apocalyptic number.

4516111440 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 4516111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597592964).

4516111440 is an abundant number, since it is smaller than the sum of its proper divisors (10679074488).

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

4516111440 is a wasteful number, since it uses less digits than its factorization.

4516111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11837 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4516111440 is about 67202.0196125087. The cubic root of 4516111440 is about 1652.9316036755.

Adding to 4516111440 its reverse (441116154), we get a palindrome (4957227594).

The spelling of 4516111440 in words is "four billion, five hundred sixteen million, one hundred eleven thousand, four hundred forty".