4511115840 has 224 divisors, whose sum is σ = 17857281024. Its totient is φ = 937359360.

The previous prime is 4511115809. The next prime is 4511115841. The reversal of 4511115840 is 485111154.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4511115840² = 40700332243797811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4511115798 and 4511115807.

It is not an unprimeable number, because it can be changed into a prime (4511115841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43407 + ... + 104433.

Almost surely, 2^4511115840 is an apocalyptic number.

4511115840 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 4511115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928640512).

4511115840 is an abundant number, since it is smaller than the sum of its proper divisors (13346165184).

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

4511115840 is a wasteful number, since it uses less digits than its factorization.

4511115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61065 (or 61055 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 4511115840 is about 67164.8408023126. The cubic root of 4511115840 is about 1652.3219027709.

Adding to 4511115840 its reverse (485111154), we get a palindrome (4996226994).

The spelling of 4511115840 in words is "four billion, five hundred eleven million, one hundred fifteen thousand, eight hundred forty".