441314314340 has 24 divisors (see below), whose sum is σ = 928824132600. Its totient is φ = 176132569088.

The previous prime is 441314314261. The next prime is 441314314349. The reversal of 441314314340 is 43413413144.

It can be written as a sum of positive squares in 4 ways, for example, as 2402764324 + 438911550016 = 49018^2 + 662504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 441314314297 and 441314314306.

It is not an unprimeable number, because it can be changed into a prime (441314314349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24563087 + ... + 24581046.

It is an arithmetic number, because the mean of its divisors is an integer number (38701005525).

Almost surely, 2^441314314340 is an apocalyptic number.

It is an amenable number.

441314314340 is an abundant number, since it is smaller than the sum of its proper divisors (487509818260).

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

441314314340 is a wasteful number, since it uses less digits than its factorization.

441314314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49144591 (or 49144589 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 441314314340 its reverse (43413413144), we get a palindrome (484727727484).

The spelling of 441314314340 in words is "four hundred forty-one billion, three hundred fourteen million, three hundred fourteen thousand, three hundred forty".