4314330321444 has 288 divisors, whose sum is σ = 12929352928128. Its totient is φ = 1195824384000.

The previous prime is 4314330321391. The next prime is 4314330321449. The reversal of 4314330321444 is 4441230334134.

4314330321444 is a `hidden beast` number, since 4 + 3 + 1 + 433 + 0 + 3 + 214 + 4 + 4 = 666.

It is a super-4 number, since 4×4314330321444⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 4314330321399 and 4314330321408.

It is not an unprimeable number, because it can be changed into a prime (4314330321449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263687824 + ... + 263704184.

It is an arithmetic number, because the mean of its divisors is an integer number (44893586556).

Almost surely, 2^{4314330321444} is an apocalyptic number.

4314330321444 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 4314330321444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464676464064).

4314330321444 is an abundant number, since it is smaller than the sum of its proper divisors (8615022606684).

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

4314330321444 is a wasteful number, since it uses less digits than its factorization.

4314330321444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16859 (or 16854 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4314330321444 its reverse (4441230334134), we get a palindrome (8755560655578).

The spelling of 4314330321444 in words is "four trillion, three hundred fourteen billion, three hundred thirty million, three hundred twenty-one thousand, four hundred forty-four".