4344221314224 has 240 divisors, whose sum is σ = 13774493625984. Its totient is φ = 1314494438400.

The previous prime is 4344221314201. The next prime is 4344221314229. The reversal of 4344221314224 is 4224131224434.

4344221314224 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 221 + 3 + 1 + 422 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4344221314229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29136184 + ... + 29284904.

Almost surely, 2^{4344221314224} is an apocalyptic number.

4344221314224 is a gapful number since it is divisible by the number (44) 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 4344221314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887246812992).

4344221314224 is an abundant number, since it is smaller than the sum of its proper divisors (9430272311760).

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

4344221314224 is a wasteful number, since it uses less digits than its factorization.

4344221314224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149438 (or 149420 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 4344221314224 its reverse (4224131224434), we get a palindrome (8568352538658).

The spelling of 4344221314224 in words is "four trillion, three hundred forty-four billion, two hundred twenty-one million, three hundred fourteen thousand, two hundred twenty-four".