4332402816 has 320 divisors, whose sum is σ = 13896545280. Its totient is φ = 1194891264.

The previous prime is 4332402793. The next prime is 4332402847. The reversal of 4332402816 is 6182042334.

It is an unprimeable number.

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, 34113345 + ... + 34113471.

It is an arithmetic number, because the mean of its divisors is an integer number (43426704).

Almost surely, 2^4332402816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948272640).

4332402816 is an abundant number, since it is smaller than the sum of its proper divisors (9564142464).

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

4332402816 is an equidigital number, since it uses as much as digits as its factorization.

4332402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4332402816 is about 65820.9906944586. The cubic root of 4332402816 is about 1630.2077113700.

The spelling of 4332402816 in words is "four billion, three hundred thirty-two million, four hundred two thousand, eight hundred sixteen".