414324423414 has 192 divisors, whose sum is σ = 1000370891520. Its totient is φ = 122892000000.

The previous prime is 414324423413. The next prime is 414324423433.

414324423414 is a `hidden beast` number, since 414 + 3 + 2 + 4 + 4 + 234 + 1 + 4 = 666.

414324423414 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414324423413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 988840897 + ... + 988841315.

It is an arithmetic number, because the mean of its divisors is an integer number (5210265060).

Almost surely, 2^414324423414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414324423414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500185445760).

414324423414 is an abundant number, since it is smaller than the sum of its proper divisors (586046468106).

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

414324423414 is a wasteful number, since it uses less digits than its factorization.

414324423414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 984 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 414324 and 423414, that added together give a palindrome (837738).

The spelling of 414324423414 in words is "four hundred fourteen billion, three hundred twenty-four million, four hundred twenty-three thousand, four hundred fourteen".