4511120 has 80 divisors (see below), whose sum is σ = 11570688. Its totient is φ = 1628160.

The previous prime is 4511099. The next prime is 4511123. The reversal of 4511120 is 211154.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4511095 and 4511104.

It is not an unprimeable number, because it can be changed into a prime (4511123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42107 + ... + 42213.

Almost surely, 2^4511120 is an apocalyptic number.

4511120 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 4511120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785344).

4511120 is an abundant number, since it is smaller than the sum of its proper divisors (7059568).

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

4511120 is a wasteful number, since it uses less digits than its factorization.

4511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 4511120 is about 2123.9397354916. The cubic root of 4511120 is about 165.2322410676.

Adding to 4511120 its reverse (211154), we get a palindrome (4722274).

It can be divided in two parts, 4511 and 120, that multiplied together give a triangular number (541320 = T₁₀₄₀).

The spelling of 4511120 in words is "four million, five hundred eleven thousand, one hundred twenty".