4446069384960 has 2304 divisors, whose sum is σ = 19606545100800. Its totient is φ = 931627008000.

The previous prime is 4446069384929. The next prime is 4446069384971. The reversal of 4446069384960 is 694839606444.

4446069384960 is a `hidden beast` number, since 4 + 4 + 460 + 6 + 9 + 3 + 84 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 28318913202 + ... + 28318913358.

It is an arithmetic number, because the mean of its divisors is an integer number (8509785200).

Almost surely, 2^{4446069384960} is an apocalyptic number.

4446069384960 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 4446069384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9803272550400).

4446069384960 is an abundant number, since it is smaller than the sum of its proper divisors (15160475715840).

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

4446069384960 is a wasteful number, since it uses less digits than its factorization.

4446069384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 4446069384960 in words is "four trillion, four hundred forty-six billion, sixty-nine million, three hundred eighty-four thousand, nine hundred sixty".