414200340424 has 32 divisors (see below), whose sum is σ = 863345629440. Its totient is φ = 185002632000.

The previous prime is 414200340397. The next prime is 414200340443. The reversal of 414200340424 is 424043002414.

It is a junction number, because it is equal to n+sod(n) for n = 414200340392 and 414200340401.

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 7 ways as a sum of consecutive naturals, for example, 64233802 + ... + 64240249.

It is an arithmetic number, because the mean of its divisors is an integer number (26979550920).

Almost surely, 2^414200340424 is an apocalyptic number.

It is an amenable number.

414200340424 is an abundant number, since it is smaller than the sum of its proper divisors (449145289016).

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

414200340424 is a wasteful number, since it uses less digits than its factorization.

414200340424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128474101 (or 128474097 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 414200340424 its reverse (424043002414), we get a palindrome (838243342838).

The spelling of 414200340424 in words is "four hundred fourteen billion, two hundred million, three hundred forty thousand, four hundred twenty-four".