441014165440 has 112 divisors (see below), whose sum is σ = 1064047485312. Its totient is φ = 174078637056.

The previous prime is 441014165429. The next prime is 441014165479. The reversal of 441014165440 is 44561410144.

It is a junction number, because it is equal to n+sod(n) for n = 441014165396 and 441014165405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24080767 + ... + 24099073.

It is an arithmetic number, because the mean of its divisors is an integer number (9500423976).

Almost surely, 2^441014165440 is an apocalyptic number.

441014165440 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 441014165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532023742656).

441014165440 is an abundant number, since it is smaller than the sum of its proper divisors (623033319872).

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

441014165440 is a wasteful number, since it uses less digits than its factorization.

441014165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19314 (or 19304 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 441014165440 its reverse (44561410144), we get a palindrome (485575575584).

The spelling of 441014165440 in words is "four hundred forty-one billion, fourteen million, one hundred sixty-five thousand, four hundred forty".