434412214434 has 96 divisors (see below), whose sum is σ = 1061076189888. Its totient is φ = 127305360000.

The previous prime is 434412214427. The next prime is 434412214447.

434412214434 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 1 + 2 + 214 + 434 = 666.

434412214434 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

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, 607324 + ... + 1112504.

It is an arithmetic number, because the mean of its divisors is an integer number (11052876978).

Almost surely, 2^434412214434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434412214434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530538094944).

434412214434 is an abundant number, since it is smaller than the sum of its proper divisors (626663975454).

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

434412214434 is a wasteful number, since it uses less digits than its factorization.

434412214434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505344 (or 505341 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 434412 and 214434, that added together give a palindrome (648846).

The spelling of 434412214434 in words is "four hundred thirty-four billion, four hundred twelve million, two hundred fourteen thousand, four hundred thirty-four".