4414223145000 has 640 divisors, whose sum is σ = 15126066109440. Its totient is φ = 1068318720000.

The previous prime is 4414223144999. The next prime is 4414223145043. The reversal of 4414223145000 is 5413224144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2663984172 + ... + 2663985828.

It is an arithmetic number, because the mean of its divisors is an integer number (23634478296).

Almost surely, 2^{4414223145000} is an apocalyptic number.

4414223145000 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 4414223145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563033054720).

4414223145000 is an abundant number, since it is smaller than the sum of its proper divisors (10711842964440).

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

4414223145000 is a wasteful number, since it uses less digits than its factorization.

4414223145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4414223145000 its reverse (5413224144), we get a palindrome (4419636369144).

The spelling of 4414223145000 in words is "four trillion, four hundred fourteen billion, two hundred twenty-three million, one hundred forty-five thousand".