4441422220004 has 192 divisors, whose sum is σ = 10005249945600. Its totient is φ = 1710045308160.

The previous prime is 4441422220003. The next prime is 4441422220033. The reversal of 4441422220004 is 4000222241444.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4441422220003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 469341377 + ... + 469350839.

It is an arithmetic number, because the mean of its divisors is an integer number (52110676800).

Almost surely, 2^{4441422220004} is an apocalyptic number.

4441422220004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441422220004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002624972800).

4441422220004 is an abundant number, since it is smaller than the sum of its proper divisors (5563827725596).

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

4441422220004 is a wasteful number, since it uses less digits than its factorization.

4441422220004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 4441422220004 its reverse (4000222241444), we get a palindrome (8441644461448).

The spelling of 4441422220004 in words is "four trillion, four hundred forty-one billion, four hundred twenty-two million, two hundred twenty thousand, four".