413311224340 has 96 divisors (see below), whose sum is σ = 1034084395008. Its totient is φ = 135777600000.

The previous prime is 413311224317. The next prime is 413311224341. The reversal of 413311224340 is 43422113314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 413311224299 and 413311224308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413311224341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33111 + ... + 909790.

It is an arithmetic number, because the mean of its divisors is an integer number (10771712448).

Almost surely, 2^413311224340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413311224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517042197504).

413311224340 is an abundant number, since it is smaller than the sum of its proper divisors (620773170668).

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

413311224340 is a wasteful number, since it uses less digits than its factorization.

413311224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943049 (or 943047 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 413311224340 its reverse (43422113314), we get a palindrome (456733337654).

The spelling of 413311224340 in words is "four hundred thirteen billion, three hundred eleven million, two hundred twenty-four thousand, three hundred forty".