4332424320 has 320 divisors, whose sum is σ = 17683617600. Its totient is φ = 990185472.

The previous prime is 4332424319. The next prime is 4332424321. The reversal of 4332424320 is 234242334.

4332424320 is a `hidden beast` number, since 4 + 332 + 4 + 2 + 4 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (4332424319) and next prime (4332424321).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (4332424321) 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 39 ways as a sum of consecutive naturals, for example, 356911 + ... + 368849.

It is an arithmetic number, because the mean of its divisors is an integer number (55261305).

Almost surely, 2^4332424320 is an apocalyptic number.

4332424320 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 4332424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841808800).

4332424320 is an abundant number, since it is smaller than the sum of its proper divisors (13351193280).

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

4332424320 is a wasteful number, since it uses less digits than its factorization.

4332424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11977 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 4332424320 is about 65821.1540464006. The cubic root of 4332424320 is about 1630.2104085591.

Adding to 4332424320 its reverse (234242334), we get a palindrome (4566666654).

The spelling of 4332424320 in words is "four billion, three hundred thirty-two million, four hundred twenty-four thousand, three hundred twenty".