413334142344 has 48 divisors (see below), whose sum is σ = 1119969427200. Its totient is φ = 137713703904.

The previous prime is 413334142337. The next prime is 413334142409. The reversal of 413334142344 is 443241433314.

413334142344 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 3 + 414 + 234 + 4 = 666.

It is a super-2 number, since 2×413334142344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 413334142299 and 413334142308.

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 11 ways as a sum of consecutive naturals, for example, 1185124 + ... + 1493715.

It is an arithmetic number, because the mean of its divisors is an integer number (23332696400).

Almost surely, 2^413334142344 is an apocalyptic number.

It is an amenable number.

413334142344 is an abundant number, since it is smaller than the sum of its proper divisors (706635284856).

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

413334142344 is a wasteful number, since it uses less digits than its factorization.

413334142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680994 (or 2680987 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 413334142344 its reverse (443241433314), we get a palindrome (856575575658).

The spelling of 413334142344 in words is "four hundred thirteen billion, three hundred thirty-four million, one hundred forty-two thousand, three hundred forty-four".