444224220420 has 96 divisors (see below), whose sum is σ = 1299061451520. Its totient is φ = 113208606720.

The previous prime is 444224220229. The next prime is 444224220487. The reversal of 444224220420 is 24022422444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415460 + ... + 1700580.

It is an arithmetic number, because the mean of its divisors is an integer number (13531890120).

Almost surely, 2^444224220420 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 444224220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649530725760).

444224220420 is an abundant number, since it is smaller than the sum of its proper divisors (854837231100).

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

444224220420 is a wasteful number, since it uses less digits than its factorization.

444224220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286285 (or 286283 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 444224220420 its reverse (24022422444), we get a palindrome (468246642864).

The spelling of 444224220420 in words is "four hundred forty-four billion, two hundred twenty-four million, two hundred twenty thousand, four hundred twenty".