414534435414 has 64 divisors (see below), whose sum is σ = 916289314560. Its totient is φ = 123979329920.

The previous prime is 414534435409. The next prime is 414534435431.

414534435414 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 31 ways as a sum of consecutive naturals, for example, 1790572 + ... + 2008784.

It is an arithmetic number, because the mean of its divisors is an integer number (14317020540).

Almost surely, 2^414534435414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414534435414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458144657280).

414534435414 is an abundant number, since it is smaller than the sum of its proper divisors (501754879146).

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

414534435414 is a wasteful number, since it uses less digits than its factorization.

414534435414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218605.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 414534 and 435414, that added together give a palindrome (849948).

The spelling of 414534435414 in words is "four hundred fourteen billion, five hundred thirty-four million, four hundred thirty-five thousand, four hundred fourteen".