414114314232 has 128 divisors (see below), whose sum is σ = 1103922432000. Its totient is φ = 129152314368.

The previous prime is 414114314143. The next prime is 414114314303. The reversal of 414114314232 is 232413411414.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 414114314232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59589894 + ... + 59596842.

It is an arithmetic number, because the mean of its divisors is an integer number (8624394000).

Almost surely, 2^414114314232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414114314232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551961216000).

414114314232 is an abundant number, since it is smaller than the sum of its proper divisors (689808117768).

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

414114314232 is a wasteful number, since it uses less digits than its factorization.

414114314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325 (or 9321 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 414114314232 its reverse (232413411414), we get a palindrome (646527725646).

The spelling of 414114314232 in words is "four hundred fourteen billion, one hundred fourteen million, three hundred fourteen thousand, two hundred thirty-two".