4418839921122 has 384 divisors, whose sum is σ = 11855115417600. Its totient is φ = 1173491712000.

The previous prime is 4418839921117. The next prime is 4418839921193. The reversal of 4418839921122 is 2211299388144.

4418839921122 is a `hidden beast` number, since 4 + 4 + 18 + 8 + 399 + 211 + 22 = 666.

It is a super-2 number, since 2×4418839921122² (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 312300504 + ... + 312314652.

It is an arithmetic number, because the mean of its divisors is an integer number (30872696400).

Almost surely, 2^{4418839921122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4418839921122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927557708800).

4418839921122 is an abundant number, since it is smaller than the sum of its proper divisors (7436275496478).

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

4418839921122 is a wasteful number, since it uses less digits than its factorization.

4418839921122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14330 (or 14327 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 4418839921122 in words is "four trillion, four hundred eighteen billion, eight hundred thirty-nine million, nine hundred twenty-one thousand, one hundred twenty-two".