414555555414 has 256 divisors, whose sum is σ = 1134577704960. Its totient is φ = 97493898240.

The previous prime is 414555555413. The next prime is 414555555523.

414555555414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×414555555414² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414555555413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 208004802 + ... + 208006794.

It is an arithmetic number, because the mean of its divisors is an integer number (4431944160).

Almost surely, 2^414555555414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414555555414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567288852480).

414555555414 is an abundant number, since it is smaller than the sum of its proper divisors (720022149546).

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

414555555414 is a wasteful number, since it uses less digits than its factorization.

414555555414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675.

The product of its digits is 4000000, while the sum is 48.

It can be divided in two parts, 414555 and 555414, that added together give a palindrome (969969).

The spelling of 414555555414 in words is "four hundred fourteen billion, five hundred fifty-five million, five hundred fifty-five thousand, four hundred fourteen".