444113013434000 has 160 divisors (see below), whose sum is σ = 1087651003630464. Its totient is φ = 175368024998400.

The previous prime is 444113013433993. The next prime is 444113013434053. The reversal of 444113013434000 is 434310311444.

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, 211935374 + ... + 214020626.

Almost surely, 2^{444113013434000} is an apocalyptic number.

444113013434000 is a gapful number since it is divisible by the number (40) 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 444113013434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543825501815232).

444113013434000 is an abundant number, since it is smaller than the sum of its proper divisors (643537990196464).

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

444113013434000 is a wasteful number, since it uses less digits than its factorization.

444113013434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086642 (or 2086626 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 444113013434000 its reverse (434310311444), we get a palindrome (444547323745444).

The spelling of 444113013434000 in words is "four hundred forty-four trillion, one hundred thirteen billion, thirteen million, four hundred thirty-four thousand".