4535409120 has 384 divisors, whose sum is σ = 16291860480. Its totient is φ = 1059379200.

The previous prime is 4535409113. The next prime is 4535409139. The reversal of 4535409120 is 219045354.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19805166 + ... + 19805394.

It is an arithmetic number, because the mean of its divisors is an integer number (42426720).

Almost surely, 2^4535409120 is an apocalyptic number.

4535409120 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 4535409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145930240).

4535409120 is an abundant number, since it is smaller than the sum of its proper divisors (11756451360).

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

4535409120 is a wasteful number, since it uses less digits than its factorization.

4535409120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 4535409120 is about 67345.4461712149. The cubic root of 4535409120 is about 1655.2826247040.

The spelling of 4535409120 in words is "four billion, five hundred thirty-five million, four hundred nine thousand, one hundred twenty".