4416434064 has 320 divisors, whose sum is σ = 14999040000. Its totient is φ = 1218032640.

The previous prime is 4416434039. The next prime is 4416434083. The reversal of 4416434064 is 4604346144.

4416434064 is a `hidden beast` number, since 4 + 4 + 1 + 643 + 4 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22193037 + ... + 22193235.

It is an arithmetic number, because the mean of its divisors is an integer number (46872000).

Almost surely, 2^4416434064 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 4416434064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520000).

4416434064 is an abundant number, since it is smaller than the sum of its proper divisors (10582605936).

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

4416434064 is a wasteful number, since it uses less digits than its factorization.

4416434064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4416434064 is about 66456.2567709016. The cubic root of 4416434064 is about 1640.6801244107.

The spelling of 4416434064 in words is "four billion, four hundred sixteen million, four hundred thirty-four thousand, sixty-four".