4434002705664 has 1620 divisors, whose sum is σ = 16798542868800. Its totient is φ = 1156605972480.

The previous prime is 4434002705641. The next prime is 4434002705689. The reversal of 4434002705664 is 4665072004344.

4434002705664 is a `hidden beast` number, since 4 + 43 + 40 + 0 + 2 + 7 + 0 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 18552312457 + ... + 18552312695.

Almost surely, 2^{4434002705664} 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 4434002705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399271434400).

4434002705664 is an abundant number, since it is smaller than the sum of its proper divisors (12364540163136).

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

4434002705664 is a wasteful number, since it uses less digits than its factorization.

4434002705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 4434002705664 in words is "four trillion, four hundred thirty-four billion, two million, seven hundred five thousand, six hundred sixty-four".