414066660414 has 128 divisors (see below), whose sum is σ = 936290893824. Its totient is φ = 120975120000.

The previous prime is 414066660401. The next prime is 414066660421.

414066660414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181051179 + ... + 181053465.

It is an arithmetic number, because the mean of its divisors is an integer number (7314772608).

Almost surely, 2^414066660414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414066660414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468145446912).

414066660414 is an abundant number, since it is smaller than the sum of its proper divisors (522224233410).

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

414066660414 is a wasteful number, since it uses less digits than its factorization.

414066660414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 414066660414 in words is "four hundred fourteen billion, sixty-six million, six hundred sixty thousand, four hundred fourteen".