4416230326144 has 256 divisors, whose sum is σ = 11133618370560. Its totient is φ = 1698129100800.

The previous prime is 4416230326093. The next prime is 4416230326147.

4416230326144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4416230326097 and 4416230326106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416230326147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129403867 + ... + 129437989.

It is an arithmetic number, because the mean of its divisors is an integer number (43490696760).

Almost surely, 2^{4416230326144} 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 4416230326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566809185280).

4416230326144 is an abundant number, since it is smaller than the sum of its proper divisors (6717388044416).

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

4416230326144 is a wasteful number, since it uses less digits than its factorization.

4416230326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34469 (or 34457 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 4416230326144 in words is "four trillion, four hundred sixteen billion, two hundred thirty million, three hundred twenty-six thousand, one hundred forty-four".