413134224440 has 32 divisors (see below), whose sum is σ = 1062345149280. Its totient is φ = 141646019712.

The previous prime is 413134224397. The next prime is 413134224479. The reversal of 413134224440 is 44422431314.

It is a junction number, because it is equal to n+sod(n) for n = 413134224397 and 413134224406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737739407 + ... + 737739966.

It is an arithmetic number, because the mean of its divisors is an integer number (33198285915).

Almost surely, 2^413134224440 is an apocalyptic number.

413134224440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413134224440 is an abundant number, since it is smaller than the sum of its proper divisors (649210924840).

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

413134224440 is a wasteful number, since it uses less digits than its factorization.

413134224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475479391 (or 1475479387 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 413134224440 its reverse (44422431314), we get a palindrome (457556655754).

The spelling of 413134224440 in words is "four hundred thirteen billion, one hundred thirty-four million, two hundred twenty-four thousand, four hundred forty".