4344448444434 has 256 divisors, whose sum is σ = 11791009382400. Its totient is φ = 1158165216000.

The previous prime is 4344448444367. The next prime is 4344448444447.

4344448444434 is a `hidden beast` number, since 43 + 4 + 44 + 484 + 44 + 43 + 4 = 666.

4344448444434 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138532284 + ... + 138563640.

It is an arithmetic number, because the mean of its divisors is an integer number (46058630400).

Almost surely, 2^{4344448444434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344448444434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895504691200).

4344448444434 is an abundant number, since it is smaller than the sum of its proper divisors (7446560937966).

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

4344448444434 is a wasteful number, since it uses less digits than its factorization.

4344448444434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31686 (or 31680 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 54.

The spelling of 4344448444434 in words is "four trillion, three hundred forty-four billion, four hundred forty-eight million, four hundred forty-four thousand, four hundred thirty-four".