444314044420 has 48 divisors (see below), whose sum is σ = 988103415600. Its totient is φ = 167244406784.

The previous prime is 444314044397. The next prime is 444314044451. The reversal of 444314044420 is 24440413444.

It can be written as a sum of positive squares in 8 ways, for example, as 158020560324 + 286293484096 = 397518^2 + 535064^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091342 + ... + 2293978.

It is an arithmetic number, because the mean of its divisors is an integer number (20585487825).

Almost surely, 2^444314044420 is an apocalyptic number.

It is an amenable number.

444314044420 is an abundant number, since it is smaller than the sum of its proper divisors (543789371180).

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

444314044420 is a wasteful number, since it uses less digits than its factorization.

444314044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209112 (or 209110 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 444314044420 its reverse (24440413444), we get a palindrome (468754457864).

The spelling of 444314044420 in words is "four hundred forty-four billion, three hundred fourteen million, forty-four thousand, four hundred twenty".