414312323124 has 48 divisors (see below), whose sum is σ = 1105467848576. Its totient is φ = 118306915200.

The previous prime is 414312323071. The next prime is 414312323129. The reversal of 414312323124 is 421323213414.

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 = 414312323091 and 414312323100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414312323129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1270267 + ... + 1562754.

Almost surely, 2^414312323124 is an apocalyptic number.

It is an amenable number.

414312323124 is an abundant number, since it is smaller than the sum of its proper divisors (691155525452).

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

414312323124 is a wasteful number, since it uses less digits than its factorization.

414312323124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834776 (or 2834774 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 414312323124 its reverse (421323213414), we get a palindrome (835635536538).

The spelling of 414312323124 in words is "four hundred fourteen billion, three hundred twelve million, three hundred twenty-three thousand, one hundred twenty-four".