444034646430444 has 384 divisors, whose sum is σ = 1239562988052480. Its totient is φ = 137097960265728.

The previous prime is 444034646430443. The next prime is 444034646430461.

444034646430444 is a `hidden beast` number, since 44 + 40 + 3 + 4 + 64 + 64 + 3 + 0 + 444 = 666.

444034646430444 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (444034646430443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85936642749 + ... + 85936647915.

It is an arithmetic number, because the mean of its divisors is an integer number (3228028614720).

Almost surely, 2^{444034646430444} 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 444034646430444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619781494026240).

444034646430444 is an abundant number, since it is smaller than the sum of its proper divisors (795528341622036).

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

444034646430444 is a wasteful number, since it uses less digits than its factorization.

444034646430444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 54.

The spelling of 444034646430444 in words is "four hundred forty-four trillion, thirty-four billion, six hundred forty-six million, four hundred thirty thousand, four hundred forty-four".