441134221011440 has 80 divisors (see below), whose sum is σ = 1123894182168576. Its totient is φ = 159693105619200.

The previous prime is 441134221011433. The next prime is 441134221011487. The reversal of 441134221011440 is 44110122431144.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×441134221011440³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 441134221011397 and 441134221011406.

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, 1123769876 + ... + 1124162355.

Almost surely, 2^{441134221011440} is an apocalyptic number.

441134221011440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441134221011440 is an abundant number, since it is smaller than the sum of its proper divisors (682759961157136).

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

441134221011440 is a wasteful number, since it uses less digits than its factorization.

441134221011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247932478 (or 2247932472 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 441134221011440 its reverse (44110122431144), we get a palindrome (485244343442584).

The spelling of 441134221011440 in words is "four hundred forty-one trillion, one hundred thirty-four billion, two hundred twenty-one million, eleven thousand, four hundred forty".