4513335120 has 240 divisors, whose sum is σ = 18084467520. Its totient is φ = 1031595264.

The previous prime is 4513335097. The next prime is 4513335139. The reversal of 4513335120 is 215333154.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84519 + ... + 127161.

It is an arithmetic number, because the mean of its divisors is an integer number (75351948).

Almost surely, 2^4513335120 is an apocalyptic number.

4513335120 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 4513335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9042233760).

4513335120 is an abundant number, since it is smaller than the sum of its proper divisors (13571132400).

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

4513335120 is a wasteful number, since it uses less digits than its factorization.

4513335120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42679 (or 42660 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 4513335120 is about 67181.3599147859. The cubic root of 4513335120 is about 1652.5928160671.

Adding to 4513335120 its reverse (215333154), we get a palindrome (4728668274).

The spelling of 4513335120 in words is "four billion, five hundred thirteen million, three hundred thirty-five thousand, one hundred twenty".