444343343444 has 192 divisors, whose sum is σ = 1116428769792. Its totient is φ = 148912128000.

The previous prime is 444343343441. The next prime is 444343343489.

444343343444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444343343444² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 444343343395 and 444343343404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444343343441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6842552 + ... + 6907184.

It is an arithmetic number, because the mean of its divisors is an integer number (5814733176).

Almost surely, 2^444343343444 is an apocalyptic number.

444343343444 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 444343343444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558214384896).

444343343444 is an abundant number, since it is smaller than the sum of its proper divisors (672085426348).

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

444343343444 is a wasteful number, since it uses less digits than its factorization.

444343343444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64786 (or 64784 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 44.

It can be divided in two parts, 444343 and 343444, that added together give a palindrome (787787).

The spelling of 444343343444 in words is "four hundred forty-four billion, three hundred forty-three million, three hundred forty-three thousand, four hundred forty-four".