414324343212340 has 48 divisors (see below), whose sum is σ = 949218672991680. Its totient is φ = 150657164430080.

The previous prime is 414324343212289. The next prime is 414324343212341. The reversal of 414324343212340 is 43212343423414.

It is a happy number.

It is a super-2 number, since 2×414324343212340² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414324343212293 and 414324343212302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414324343212341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33625417 + ... + 44264176.

It is an arithmetic number, because the mean of its divisors is an integer number (19775389020660).

Almost surely, 2^{414324343212340} is an apocalyptic number.

It is an amenable number.

414324343212340 is an abundant number, since it is smaller than the sum of its proper divisors (534894329779340).

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

414324343212340 is a wasteful number, since it uses less digits than its factorization.

414324343212340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77913792 (or 77913790 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 414324343212340 its reverse (43212343423414), we get a palindrome (457536686635754).

The spelling of 414324343212340 in words is "four hundred fourteen trillion, three hundred twenty-four billion, three hundred forty-three million, two hundred twelve thousand, three hundred forty".