444513315444 has 72 divisors (see below), whose sum is σ = 1140498982560. Its totient is φ = 134649176640.

The previous prime is 444513315397. The next prime is 444513315461.

444513315444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444513315396 and 444513315405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3803302 + ... + 3918434.

Almost surely, 2^444513315444 is an apocalyptic number.

444513315444 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 444513315444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570249491280).

444513315444 is an abundant number, since it is smaller than the sum of its proper divisors (695985667116).

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

444513315444 is a wasteful number, since it uses less digits than its factorization.

444513315444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117821 (or 117808 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 444513 and 315444, that added together give a palindrome (759957).

The spelling of 444513315444 in words is "four hundred forty-four billion, five hundred thirteen million, three hundred fifteen thousand, four hundred forty-four".