4334344431144 has 256 divisors, whose sum is σ = 13555025326080. Its totient is φ = 1124461578240.

The previous prime is 4334344431127. The next prime is 4334344431149. The reversal of 4334344431144 is 4411344434334.

4334344431144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a junction number, because it is equal to n+sod(n) for n = 4334344431096 and 4334344431105.

It is not an unprimeable number, because it can be changed into a prime (4334344431149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68661804 + ... + 68724900.

It is an arithmetic number, because the mean of its divisors is an integer number (52949317680).

Almost surely, 2^{4334344431144} 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 4334344431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777512663040).

4334344431144 is an abundant number, since it is smaller than the sum of its proper divisors (9220680894936).

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

4334344431144 is a wasteful number, since it uses less digits than its factorization.

4334344431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63640 (or 63636 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

Adding to 4334344431144 its reverse (4411344434334), we get a palindrome (8745688865478).

The spelling of 4334344431144 in words is "four trillion, three hundred thirty-four billion, three hundred forty-four million, four hundred thirty-one thousand, one hundred forty-four".