440412240240441 has 48 divisors (see below), whose sum is σ = 740800798657920. Its totient is φ = 246897915114240.

The previous prime is 440412240240397. The next prime is 440412240240491. The reversal of 440412240240441 is 144042042214044.

440412240240441 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 1 + 2 + 240 + 2 + 404 + 4 + 1 = 666.

It is not a de Polignac number, because 440412240240441 - 2¹⁵ = 440412240207673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 440412240240396 and 440412240240405.

It is not an unprimeable number, because it can be changed into a prime (440412240240491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41516581 + ... + 51033821.

It is an arithmetic number, because the mean of its divisors is an integer number (15433349972040).

Almost surely, 2^{440412240240441} is an apocalyptic number.

It is an amenable number.

440412240240441 is a deficient number, since it is larger than the sum of its proper divisors (300388558417479).

440412240240441 is a wasteful number, since it uses less digits than its factorization.

440412240240441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531166 (or 9531163 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 440412240240441 its reverse (144042042214044), we get a palindrome (584454282454485).

The spelling of 440412240240441 in words is "four hundred forty trillion, four hundred twelve billion, two hundred forty million, two hundred forty thousand, four hundred forty-one".