444444444444420 has 864 divisors, whose sum is σ = 1590052169946240. Its totient is φ = 100185292247040.

The previous prime is 444444444444391. The next prime is 444444444444421. The reversal of 444444444444420 is 24444444444444.

444444444444420 is a `hidden beast` number, since 4 + 44 + 44 + 44 + 44 + 44 + 442 + 0 = 666.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (444444444444421) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 221889387139 + ... + 221889389141.

It is an arithmetic number, because the mean of its divisors is an integer number (1840338159660).

Almost surely, 2^{444444444444420} 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 444444444444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795026084973120).

444444444444420 is an abundant number, since it is smaller than the sum of its proper divisors (1145607725501820).

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

444444444444420 is a wasteful number, since it uses less digits than its factorization.

444444444444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 134217728, while the sum is 54.

Adding to 444444444444420 its reverse (24444444444444), we get a palindrome (468888888888864).

The spelling of 444444444444420 in words is "four hundred forty-four trillion, four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred twenty".