414242444034 has 64 divisors (see below), whose sum is σ = 940790822400. Its totient is φ = 135047170944.

The previous prime is 414242444027. The next prime is 414242444093. The reversal of 414242444034 is 430444242414.

It is a happy number.

414242444034 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 4 + 244 + 403 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 414242444034.

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, 3569694 + ... + 3683910.

It is an arithmetic number, because the mean of its divisors is an integer number (14699856600).

Almost surely, 2^414242444034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414242444034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470395411200).

414242444034 is an abundant number, since it is smaller than the sum of its proper divisors (526548378366).

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

414242444034 is a wasteful number, since it uses less digits than its factorization.

414242444034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115704 (or 115698 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 414242444034 its reverse (430444242414), we get a palindrome (844686686448).

The spelling of 414242444034 in words is "four hundred fourteen billion, two hundred forty-two million, four hundred forty-four thousand, thirty-four".