4225819852800 has 4320 divisors, whose sum is σ = 21414204403200. Its totient is φ = 794988380160.

The previous prime is 4225819852769. The next prime is 4225819852937. The reversal of 4225819852800 is 82589185224.

4225819852800 is a `hidden beast` number, since 4 + 2 + 2 + 581 + 9 + 8 + 52 + 8 + 0 + 0 = 666.

4225819852800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×4225819852800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 222411571191 + ... + 222411571209.

It is an arithmetic number, because the mean of its divisors is an integer number (4956991760).

Almost surely, 2^{4225819852800} is an apocalyptic number.

4225819852800 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 4225819852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10707102201600).

4225819852800 is an abundant number, since it is smaller than the sum of its proper divisors (17188384550400).

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

4225819852800 is a wasteful number, since it uses less digits than its factorization.

4225819852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 4225819852800 in words is "four trillion, two hundred twenty-five billion, eight hundred nineteen million, eight hundred fifty-two thousand, eight hundred".