414304242132 has 192 divisors, whose sum is σ = 1147908464640. Its totient is φ = 114901286400.

The previous prime is 414304242119. The next prime is 414304242139. The reversal of 414304242132 is 231242403414.

It is a self number, because there is not a number n which added to its sum of digits gives 414304242132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414304242139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47655178 + ... + 47663870.

It is an arithmetic number, because the mean of its divisors is an integer number (5978689920).

Almost surely, 2^414304242132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414304242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573954232320).

414304242132 is an abundant number, since it is smaller than the sum of its proper divisors (733604222508).

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

414304242132 is a wasteful number, since it uses less digits than its factorization.

414304242132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9374 (or 9372 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 414304242132 its reverse (231242403414), we get a palindrome (645546645546).

The spelling of 414304242132 in words is "four hundred fourteen billion, three hundred four million, two hundred forty-two thousand, one hundred thirty-two".