413311241440 has 24 divisors (see below), whose sum is σ = 976447808280. Its totient is φ = 165324496512.

The previous prime is 413311241429. The next prime is 413311241449. The reversal of 413311241440 is 44142113314.

It is a super-3 number, since 3×413311241440³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413311241399 and 413311241408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413311241449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1291597470 + ... + 1291597789.

It is an arithmetic number, because the mean of its divisors is an integer number (40685325345).

Almost surely, 2^413311241440 is an apocalyptic number.

413311241440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413311241440 is an abundant number, since it is smaller than the sum of its proper divisors (563136566840).

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

413311241440 is a wasteful number, since it uses less digits than its factorization.

413311241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583195274 (or 2583195266 counting only the distinct ones).

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

Adding to 413311241440 its reverse (44142113314), we get a palindrome (457453354754).

The spelling of 413311241440 in words is "four hundred thirteen billion, three hundred eleven million, two hundred forty-one thousand, four hundred forty".