4434366634344 has 128 divisors (see below), whose sum is σ = 12502986844800. Its totient is φ = 1455891148800.

The previous prime is 4434366634309. The next prime is 4434366634367.

4434366634344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208400634 + ... + 208421910.

It is an arithmetic number, because the mean of its divisors is an integer number (97679584725).

Almost surely, 2^{4434366634344} 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 4434366634344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251493422400).

4434366634344 is an abundant number, since it is smaller than the sum of its proper divisors (8068620210456).

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

4434366634344 is a wasteful number, since it uses less digits than its factorization.

4434366634344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35760 (or 35750 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 54.

The spelling of 4434366634344 in words is "four trillion, four hundred thirty-four billion, three hundred sixty-six million, six hundred thirty-four thousand, three hundred forty-four".