1441071114432 has 224 divisors, whose sum is σ = 4077985524480. Its totient is φ = 447779819520.

The previous prime is 1441071114421. The next prime is 1441071114449. The reversal of 1441071114432 is 2344111701441.

It is a junction number, because it is equal to n+sod(n) for n = 1441071114393 and 1441071114402.

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, 259322598 + ... + 259328154.

It is an arithmetic number, because the mean of its divisors is an integer number (18205292520).

Almost surely, 2^{1441071114432} is an apocalyptic number.

1441071114432 is a gapful number since it is divisible by the number (12) 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 1441071114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038992762240).

1441071114432 is an abundant number, since it is smaller than the sum of its proper divisors (2636914410048).

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

1441071114432 is a wasteful number, since it uses less digits than its factorization.

1441071114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 1441071114432 its reverse (2344111701441), we get a palindrome (3785182815873).

The spelling of 1441071114432 in words is "one trillion, four hundred forty-one billion, seventy-one million, one hundred fourteen thousand, four hundred thirty-two".