444627828726444 has 216 divisors, whose sum is σ = 1275295927965696. Its totient is φ = 130383122126400.

The previous prime is 444627828726401. The next prime is 444627828726449.

444627828726444 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 2 + 7 + 82 + 87 + 26 + 444 = 666.

444627828726444 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (444627828726449) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3324924567 + ... + 3325058289.

It is an arithmetic number, because the mean of its divisors is an integer number (5904147814656).

Almost surely, 2^{444627828726444} is an apocalyptic number.

444627828726444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444627828726444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637647963982848).

444627828726444 is an abundant number, since it is smaller than the sum of its proper divisors (830668099239252).

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

444627828726444 is a wasteful number, since it uses less digits than its factorization.

444627828726444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158409 (or 158393 counting only the distinct ones).

The product of its digits is 3699376128, while the sum is 72.

The spelling of 444627828726444 in words is "four hundred forty-four trillion, six hundred twenty-seven billion, eight hundred twenty-eight million, seven hundred twenty-six thousand, four hundred forty-four".