444144128 has 40 divisors (see below), whose sum is σ = 889764480. Its totient is φ = 221486080.

The previous prime is 444144109. The next prime is 444144131. The reversal of 444144128 is 821441444.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is a junction number, because it is equal to n+sod(n) for n = 444144094 and 444144103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 244343 + ... + 246153.

It is an arithmetic number, because the mean of its divisors is an integer number (22244112).

Almost surely, 2^444144128 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 444144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444882240).

444144128 is an abundant number, since it is smaller than the sum of its proper divisors (445620352).

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

444144128 is an equidigital number, since it uses as much as digits as its factorization.

444144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2292 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 444144128 is about 21074.7272342965. The cubic root of 444144128 is about 762.9709013831.

The spelling of 444144128 in words is "four hundred forty-four million, one hundred forty-four thousand, one hundred twenty-eight".