4398335566560 has 1152 divisors, whose sum is σ = 17099746392960. Its totient is φ = 1055015829504.

The previous prime is 4398335566549. The next prime is 4398335566577. The reversal of 4398335566560 is 656655338934.

4398335566560 is a `hidden beast` number, since 4 + 3 + 9 + 8 + 3 + 3 + 5 + 5 + 66 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7622764992 + ... + 7622765568.

It is an arithmetic number, because the mean of its divisors is an integer number (14843529855).

Almost surely, 2^{4398335566560} is an apocalyptic number.

4398335566560 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 4398335566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549873196480).

4398335566560 is an abundant number, since it is smaller than the sum of its proper divisors (12701410826400).

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

4398335566560 is a wasteful number, since it uses less digits than its factorization.

4398335566560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 63.

The spelling of 4398335566560 in words is "four trillion, three hundred ninety-eight billion, three hundred thirty-five million, five hundred sixty-six thousand, five hundred sixty".