4420800914304 has 512 divisors, whose sum is σ = 12635263872000. Its totient is φ = 1367279861760.

The previous prime is 4420800914303. The next prime is 4420800914323. The reversal of 4420800914304 is 4034190080244.

It is a super-2 number, since 2×4420800914304² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420800914303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10070161317 + ... + 10070161755.

It is an arithmetic number, because the mean of its divisors is an integer number (24678249750).

Almost surely, 2^{4420800914304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4420800914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317631936000).

4420800914304 is an abundant number, since it is smaller than the sum of its proper divisors (8214462957696).

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

4420800914304 is a wasteful number, since it uses less digits than its factorization.

4420800914304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

Adding to 4420800914304 its reverse (4034190080244), we get a palindrome (8454990994548).

The spelling of 4420800914304 in words is "four trillion, four hundred twenty billion, eight hundred million, nine hundred fourteen thousand, three hundred four".