414441414 has 64 divisors (see below), whose sum is σ = 976320000. Its totient is φ = 129949920.

The previous prime is 414441373. The next prime is 414441437. The reversal of 414441414 is 414144414.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 151519 + ... + 154229.

It is an arithmetic number, because the mean of its divisors is an integer number (15255000).

Almost surely, 2^414441414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414441414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488160000).

414441414 is an abundant number, since it is smaller than the sum of its proper divisors (561878586).

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

414441414 is a wasteful number, since it uses less digits than its factorization.

414441414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2884 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 414441414 is about 20357.8342168316. The cubic root of 414441414 is about 745.5687826452.

Adding to 414441414 its reverse (414144414), we get a palindrome (828585828).

The spelling of 414441414 in words is "four hundred fourteen million, four hundred forty-one thousand, four hundred fourteen".