4568122214400 has 288 divisors, whose sum is σ = 15153260129280. Its totient is φ = 1213996400640.

The previous prime is 4568122214377. The next prime is 4568122214407. The reversal of 4568122214400 is 44122218654.

It is not an unprimeable number, because it can be changed into a prime (4568122214407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44954049 + ... + 45055551.

It is an arithmetic number, because the mean of its divisors is an integer number (52615486560).

Almost surely, 2^{4568122214400} is an apocalyptic number.

4568122214400 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 4568122214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576630064640).

4568122214400 is an abundant number, since it is smaller than the sum of its proper divisors (10585137914880).

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

4568122214400 is a wasteful number, since it uses less digits than its factorization.

4568122214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101831 (or 101806 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 4568122214400 in words is "four trillion, five hundred sixty-eight billion, one hundred twenty-two million, two hundred fourteen thousand, four hundred".