414131034212 has 96 divisors (see below), whose sum is σ = 868951480320. Its totient is φ = 168981684480.

The previous prime is 414131034209. The next prime is 414131034257. The reversal of 414131034212 is 212430131414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70439489 + ... + 70445367.

It is an arithmetic number, because the mean of its divisors is an integer number (9051577920).

Almost surely, 2^414131034212 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 414131034212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434475740160).

414131034212 is an abundant number, since it is smaller than the sum of its proper divisors (454820446108).

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

414131034212 is a wasteful number, since it uses less digits than its factorization.

414131034212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 414131034212 its reverse (212430131414), we get a palindrome (626561165626).

The spelling of 414131034212 in words is "four hundred fourteen billion, one hundred thirty-one million, thirty-four thousand, two hundred twelve".