414441144414 has 48 divisors (see below), whose sum is σ = 983792510064. Its totient is φ = 125049206400.

The previous prime is 414441144391. The next prime is 414441144419.

414441144414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×414441144414² (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 (414441144419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4445577 + ... + 4537844.

It is an arithmetic number, because the mean of its divisors is an integer number (20495677293).

Almost surely, 2^414441144414 is an apocalyptic number.

414441144414 is an abundant number, since it is smaller than the sum of its proper divisors (569351365650).

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

414441144414 is a wasteful number, since it uses less digits than its factorization.

414441144414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8983673 (or 8983670 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 414441 and 144414, that added together give a palindrome (558855).

The spelling of 414441144414 in words is "four hundred fourteen billion, four hundred forty-one million, one hundred forty-four thousand, four hundred fourteen".