4224204040320 has 768 divisors, whose sum is σ = 16142864025600. Its totient is φ = 1009346150400.

The previous prime is 4224204040297. The next prime is 4224204040333. The reversal of 4224204040320 is 230404024224.

4224204040320 is a `hidden beast` number, since 4 + 224 + 2 + 0 + 404 + 0 + 32 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1367497336 + ... + 1367500424.

It is an arithmetic number, because the mean of its divisors is an integer number (21019354200).

Almost surely, 2^{4224204040320} is an apocalyptic number.

4224204040320 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 4224204040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071432012800).

4224204040320 is an abundant number, since it is smaller than the sum of its proper divisors (11918659985280).

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

4224204040320 is a wasteful number, since it uses less digits than its factorization.

4224204040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 4224204040320 its reverse (230404024224), we get a palindrome (4454608064544).

The spelling of 4224204040320 in words is "four trillion, two hundred twenty-four billion, two hundred four million, forty thousand, three hundred twenty".