413312114440 has 64 divisors (see below), whose sum is σ = 984744650160. Its totient is φ = 155585740800.

The previous prime is 413312114437. The next prime is 413312114513. The reversal of 413312114440 is 44411213314.

It can be written as a sum of positive squares in 8 ways, for example, as 57292252164 + 356019862276 = 239358^2 + 596674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413312114399 and 413312114408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10338490 + ... + 10378390.

Almost surely, 2^413312114440 is an apocalyptic number.

413312114440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413312114440 is an abundant number, since it is smaller than the sum of its proper divisors (571432535720).

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

413312114440 is a wasteful number, since it uses less digits than its factorization.

413312114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55162 (or 55158 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 413312114440 its reverse (44411213314), we get a palindrome (457723327754).

The spelling of 413312114440 in words is "four hundred thirteen billion, three hundred twelve million, one hundred fourteen thousand, four hundred forty".