4222585936800 has 648 divisors, whose sum is σ = 18895541045472. Its totient is φ = 877419648000.

The previous prime is 4222585936787. The next prime is 4222585936801. The reversal of 4222585936800 is 86395852224.

4222585936800 is a `hidden beast` number, since 4 + 2 + 22 + 585 + 9 + 36 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×4222585936800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4222585936801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3336765 + ... + 4424835.

It is an arithmetic number, because the mean of its divisors is an integer number (29159785564).

Almost surely, 2^{4222585936800} is an apocalyptic number.

4222585936800 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 4222585936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9447770522736).

4222585936800 is an abundant number, since it is smaller than the sum of its proper divisors (14672955108672).

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

4222585936800 is a wasteful number, since it uses less digits than its factorization.

4222585936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088122 (or 1088099 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4222585936800 in words is "four trillion, two hundred twenty-two billion, five hundred eighty-five million, nine hundred thirty-six thousand, eight hundred".