4332118560 has 768 divisors, whose sum is σ = 18579456000. Its totient is φ = 821145600.

The previous prime is 4332118543. The next prime is 4332118561. The reversal of 4332118560 is 658112334.

It is a super-3 number, since 3×4332118560³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4332118561) 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 127 ways as a sum of consecutive naturals, for example, 21769341 + ... + 21769539.

It is an arithmetic number, because the mean of its divisors is an integer number (24192000).

Almost surely, 2^4332118560 is an apocalyptic number.

4332118560 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 4332118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289728000).

4332118560 is an abundant number, since it is smaller than the sum of its proper divisors (14247337440).

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

4332118560 is a wasteful number, since it uses less digits than its factorization.

4332118560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4332118560 is about 65818.8313478749. The cubic root of 4332118560 is about 1630.1720570631.

The spelling of 4332118560 in words is "four billion, three hundred thirty-two million, one hundred eighteen thousand, five hundred sixty".