4412320205568 has 288 divisors, whose sum is σ = 13093722980352. Its totient is φ = 1307832422400.

The previous prime is 4412320205561. The next prime is 4412320205581. The reversal of 4412320205568 is 8655020232144.

It is not an unprimeable number, because it can be changed into a prime (4412320205561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76146655 + ... + 76204577.

It is an arithmetic number, because the mean of its divisors is an integer number (45464315904).

Almost surely, 2^{4412320205568} is an apocalyptic number.

4412320205568 is a gapful number since it is divisible by the number (48) 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 4412320205568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546861490176).

4412320205568 is an abundant number, since it is smaller than the sum of its proper divisors (8681402774784).

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

4412320205568 is a wasteful number, since it uses less digits than its factorization.

4412320205568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58151 (or 58137 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 4412320205568 in words is "four trillion, four hundred twelve billion, three hundred twenty million, two hundred five thousand, five hundred sixty-eight".