444411114444 has 144 divisors (see below), whose sum is σ = 1238774977440. Its totient is φ = 133213440000.

The previous prime is 444411114443. The next prime is 444411114449.

444411114444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444411114399 and 444411114408.

It is not an unprimeable number, because it can be changed into a prime (444411114443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49150564 + ... + 49159604.

It is an arithmetic number, because the mean of its divisors is an integer number (8602604010).

Almost surely, 2^444411114444 is an apocalyptic number.

444411114444 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 444411114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619387488720).

444411114444 is an abundant number, since it is smaller than the sum of its proper divisors (794363862996).

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

444411114444 is a wasteful number, since it uses less digits than its factorization.

444411114444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392 (or 10387 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 444411 and 114444, that multiplied together give a square (50860172484 = 225522²).

The spelling of 444411114444 in words is "four hundred forty-four billion, four hundred eleven million, one hundred fourteen thousand, four hundred forty-four".