4324434000444 has 144 divisors (see below), whose sum is σ = 11393005373568. Its totient is φ = 1381928131584.

The previous prime is 4324434000437. The next prime is 4324434000449. The reversal of 4324434000444 is 4440004344234.

4324434000444 is a `hidden beast` number, since 4 + 3 + 244 + 3 + 400 + 0 + 4 + 4 + 4 = 666.

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 = 4324434000399 and 4324434000408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4324434000449) 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, 55291014 + ... + 55369170.

It is an arithmetic number, because the mean of its divisors is an integer number (79118092872).

Almost surely, 2^{4324434000444} 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 4324434000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696502686784).

4324434000444 is an abundant number, since it is smaller than the sum of its proper divisors (7068571373124).

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

4324434000444 is a wasteful number, since it uses less digits than its factorization.

4324434000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78884 (or 78879 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4324434000444 its reverse (4440004344234), we get a palindrome (8764438344678).

The spelling of 4324434000444 in words is "four trillion, three hundred twenty-four billion, four hundred thirty-four million, four hundred forty-four", and thus it is an aban number.