4385895081984 has 480 divisors, whose sum is σ = 14938068305160. Its totient is φ = 1270112845824.

The previous prime is 4385895081979. The next prime is 4385895082013. The reversal of 4385895081984 is 4891805985834.

4385895081984 is a `hidden beast` number, since 4 + 38 + 5 + 8 + 9 + 508 + 1 + 9 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3920400000000 + 465495081984 = 1980000^2 + 682272^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36601432 + ... + 36721064.

Almost surely, 2^{4385895081984} 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 4385895081984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469034152580).

4385895081984 is an abundant number, since it is smaller than the sum of its proper divisors (10552173223176).

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

4385895081984 is a wasteful number, since it uses less digits than its factorization.

4385895081984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119697 (or 119668 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 4385895081984 in words is "four trillion, three hundred eighty-five billion, eight hundred ninety-five million, eighty-one thousand, nine hundred eighty-four".