414012020214 has 64 divisors (see below), whose sum is σ = 932120437248. Its totient is φ = 121635993600.

The previous prime is 414012020197. The next prime is 414012020243. The reversal of 414012020214 is 412020210414.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 822294 + ... + 1226454.

It is an arithmetic number, because the mean of its divisors is an integer number (14564381832).

Almost surely, 2^414012020214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414012020214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466060218624).

414012020214 is an abundant number, since it is smaller than the sum of its proper divisors (518108417034).

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

414012020214 is a wasteful number, since it uses less digits than its factorization.

414012020214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404773.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 414012020214 its reverse (412020210414), we get a palindrome (826032230628).

The spelling of 414012020214 in words is "four hundred fourteen billion, twelve million, twenty thousand, two hundred fourteen".