4434320234344 has 256 divisors, whose sum is σ = 11745014722560. Its totient is φ = 1525415443200.

The previous prime is 4434320234317. The next prime is 4434320234389.

4434320234344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4434320234344² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4434320234297 and 4434320234306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22186779 + ... + 22385749.

It is an arithmetic number, because the mean of its divisors is an integer number (45878963760).

Almost surely, 2^{4434320234344} is an apocalyptic number.

4434320234344 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 4434320234344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872507361280).

4434320234344 is an abundant number, since it is smaller than the sum of its proper divisors (7310694488216).

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

4434320234344 is a wasteful number, since it uses less digits than its factorization.

4434320234344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199053 (or 199027 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

It can be divided in two parts, 4434320 and 234344, that added together give a palindrome (4668664).

The spelling of 4434320234344 in words is "four trillion, four hundred thirty-four billion, three hundred twenty million, two hundred thirty-four thousand, three hundred forty-four".