444424565424444 has 576 divisors, whose sum is σ = 1201959479347200. Its totient is φ = 127538611200000.

The previous prime is 444424565424439. The next prime is 444424565424449.

444424565424444 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (444424565424439) and next prime (444424565424449).

It is a super-3 number, since 3×444424565424444³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444424565424449) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 422858767719 + ... + 422858768769.

It is an arithmetic number, because the mean of its divisors is an integer number (2086735207200).

Almost surely, 2^{444424565424444} is an apocalyptic number.

444424565424444 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 444424565424444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600979739673600).

444424565424444 is an abundant number, since it is smaller than the sum of its proper divisors (757534913922756).

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

444424565424444 is a wasteful number, since it uses less digits than its factorization.

444424565424444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1893 counting only the distinct ones).

The product of its digits is 629145600, while the sum is 60.

The spelling of 444424565424444 in words is "four hundred forty-four trillion, four hundred twenty-four billion, five hundred sixty-five million, four hundred twenty-four thousand, four hundred forty-four".