4222518232320 has 576 divisors, whose sum is σ = 15258495974400. Its totient is φ = 1119367766016.

The previous prime is 4222518232301. The next prime is 4222518232337. The reversal of 4222518232320 is 232328152224.

4222518232320 is a `hidden beast` number, since 4 + 2 + 2 + 251 + 82 + 3 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484284921 + ... + 484293639.

It is an arithmetic number, because the mean of its divisors is an integer number (26490444400).

Almost surely, 2^{4222518232320} is an apocalyptic number.

4222518232320 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 4222518232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629247987200).

4222518232320 is an abundant number, since it is smaller than the sum of its proper divisors (11035977742080).

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

4222518232320 is an frugal number, since it uses more digits than its factorization.

4222518232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934 (or 8902 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4222518232320 in words is "four trillion, two hundred twenty-two billion, five hundred eighteen million, two hundred thirty-two thousand, three hundred twenty".