414113430432 has 288 divisors, whose sum is σ = 1196820878400. Its totient is φ = 125303193600.

The previous prime is 414113430413. The next prime is 414113430461. The reversal of 414113430432 is 234034311414.

It is a self number, because there is not a number n which added to its sum of digits gives 414113430432.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258658432 + ... + 258660032.

It is an arithmetic number, because the mean of its divisors is an integer number (4155628050).

Almost surely, 2^414113430432 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 414113430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598410439200).

414113430432 is an abundant number, since it is smaller than the sum of its proper divisors (782707447968).

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

414113430432 is a wasteful number, since it uses less digits than its factorization.

414113430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 414113430432 its reverse (234034311414), we get a palindrome (648147741846).

The spelling of 414113430432 in words is "four hundred fourteen billion, one hundred thirteen million, four hundred thirty thousand, four hundred thirty-two".