444810018444 has 96 divisors (see below), whose sum is σ = 1144190057472. Its totient is φ = 133374696000.

The previous prime is 444810018407. The next prime is 444810018469.

It is a happy number.

444810018444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444810018444² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 444810018396 and 444810018405.

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, 5963259 + ... + 6037389.

It is an arithmetic number, because the mean of its divisors is an integer number (11918646432).

Almost surely, 2^444810018444 is an apocalyptic number.

444810018444 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 444810018444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572095028736).

444810018444 is an abundant number, since it is smaller than the sum of its proper divisors (699380039028).

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

444810018444 is a wasteful number, since it uses less digits than its factorization.

444810018444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74627 (or 74625 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The spelling of 444810018444 in words is "four hundred forty-four billion, eight hundred ten million, eighteen thousand, four hundred forty-four".