414243304340 has 48 divisors (see below), whose sum is σ = 872733104208. Its totient is φ = 165160157184.

The previous prime is 414243304309. The next prime is 414243304351. The reversal of 414243304340 is 43403342414.

It can be written as a sum of positive squares in 8 ways, for example, as 130462084 + 414112842256 = 11422^2 + 643516^2 .

It is a super-3 number, since 3×414243304340³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414243304297 and 414243304306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19425524 + ... + 19446836.

It is an arithmetic number, because the mean of its divisors is an integer number (18181939671).

Almost surely, 2^414243304340 is an apocalyptic number.

It is an amenable number.

414243304340 is an abundant number, since it is smaller than the sum of its proper divisors (458489799868).

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

414243304340 is a wasteful number, since it uses less digits than its factorization.

414243304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24428 (or 24426 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 414243304340 its reverse (43403342414), we get a palindrome (457646646754).

The spelling of 414243304340 in words is "four hundred fourteen billion, two hundred forty-three million, three hundred four thousand, three hundred forty".