444421030220132 has 72 divisors (see below), whose sum is σ = 917981885280600. Its totient is φ = 187677942036480.

The previous prime is 444421030220093. The next prime is 444421030220149. The reversal of 444421030220132 is 231022030124444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 319500753173056 + 124920277047076 = 17874584^2 + 11176774^2 .

It is a super-3 number, since 3×444421030220132³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204032 + ... + 29814152.

It is an arithmetic number, because the mean of its divisors is an integer number (12749748406675).

Almost surely, 2^{444421030220132} 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 444421030220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458990942640300).

444421030220132 is an abundant number, since it is smaller than the sum of its proper divisors (473560855060468).

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

444421030220132 is a wasteful number, since it uses less digits than its factorization.

444421030220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29611261 (or 29611252 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 444421030220132 its reverse (231022030124444), we get a palindrome (675443060344576).

The spelling of 444421030220132 in words is "four hundred forty-four trillion, four hundred twenty-one billion, thirty million, two hundred twenty thousand, one hundred thirty-two".