413114223340 has 144 divisors (see below), whose sum is σ = 1130115006720. Its totient is φ = 123862452480.

The previous prime is 413114223307. The next prime is 413114223367. The reversal of 413114223340 is 43322411314.

It is a happy number.

It is a super-2 number, since 2×413114223340² (a number of 24 digits) contains 22 as substring.

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 = 413114223299 and 413114223308.

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 47 ways as a sum of consecutive naturals, for example, 9946 + ... + 909025.

It is an arithmetic number, because the mean of its divisors is an integer number (7848020880).

Almost surely, 2^413114223340 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 413114223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565057503360).

413114223340 is an abundant number, since it is smaller than the sum of its proper divisors (717000783380).

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

413114223340 is a wasteful number, since it uses less digits than its factorization.

413114223340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919032 (or 919017 counting only the distinct ones).

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

Adding to 413114223340 its reverse (43322411314), we get a palindrome (456436634654).

The spelling of 413114223340 in words is "four hundred thirteen billion, one hundred fourteen million, two hundred twenty-three thousand, three hundred forty".