441617081240 has 128 divisors (see below), whose sum is σ = 1036413480960. Its totient is φ = 169223814144.

The previous prime is 441617081231. The next prime is 441617081281. The reversal of 441617081240 is 42180716144.

It is a junction number, because it is equal to n+sod(n) for n = 441617081194 and 441617081203.

It is a congruent number.

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, 26842697 + ... + 26859143.

It is an arithmetic number, because the mean of its divisors is an integer number (8096980320).

Almost surely, 2^441617081240 is an apocalyptic number.

441617081240 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 441617081240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518206740480).

441617081240 is an abundant number, since it is smaller than the sum of its proper divisors (594796399720).

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

441617081240 is a wasteful number, since it uses less digits than its factorization.

441617081240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16801 (or 16797 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

Adding to 441617081240 its reverse (42180716144), we get a palindrome (483797797384).

The spelling of 441617081240 in words is "four hundred forty-one billion, six hundred seventeen million, eighty-one thousand, two hundred forty".