414101214212 has 72 divisors (see below), whose sum is σ = 888923800800. Its totient is φ = 167834975616.

The previous prime is 414101214187. The next prime is 414101214223. The reversal of 414101214212 is 212412101414.

It is a super-2 number, since 2×414101214212² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2021243 + ... + 2216669.

It is an arithmetic number, because the mean of its divisors is an integer number (12346163900).

Almost surely, 2^414101214212 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 414101214212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444461900400).

414101214212 is an abundant number, since it is smaller than the sum of its proper divisors (474822586588).

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

414101214212 is a wasteful number, since it uses less digits than its factorization.

414101214212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196033 (or 196024 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 414101214212 its reverse (212412101414), we get a palindrome (626513315626).

The spelling of 414101214212 in words is "four hundred fourteen billion, one hundred one million, two hundred fourteen thousand, two hundred twelve".