444220523424 has 144 divisors (see below), whose sum is σ = 1307747750400. Its totient is φ = 142885347840.

The previous prime is 444220523413. The next prime is 444220523437. The reversal of 444220523424 is 424325022444.

It is a happy number.

444220523424 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 205 + 23 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3044589 + ... + 3187155.

It is an arithmetic number, because the mean of its divisors is an integer number (9081581600).

Almost surely, 2^444220523424 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 444220523424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653873875200).

444220523424 is an abundant number, since it is smaller than the sum of its proper divisors (863527226976).

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

444220523424 is a wasteful number, since it uses less digits than its factorization.

444220523424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142963 (or 142952 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 444220523424 its reverse (424325022444), we get a palindrome (868545545868).

The spelling of 444220523424 in words is "four hundred forty-four billion, two hundred twenty million, five hundred twenty-three thousand, four hundred twenty-four".