434212202212434 has 48 divisors (see below), whose sum is σ = 943812009279360. Its totient is φ = 144273427596960.

The previous prime is 434212202212409. The next prime is 434212202212519.

434212202212434 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 1 + 2 + 2 + 0 + 2 + 212 + 434 = 666.

434212202212434 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8736522 + ... + 30736805.

It is an arithmetic number, because the mean of its divisors is an integer number (19662750193320).

Almost surely, 2^{434212202212434} is an apocalyptic number.

434212202212434 is an abundant number, since it is smaller than the sum of its proper divisors (509599807066926).

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

434212202212434 is a wasteful number, since it uses less digits than its factorization.

434212202212434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39475295 (or 39475292 counting only the distinct ones).

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

It can be divided in two parts, 43421220 and 2212434, that added together give a palindrome (45633654).

The spelling of 434212202212434 in words is "four hundred thirty-four trillion, two hundred twelve billion, two hundred two million, two hundred twelve thousand, four hundred thirty-four".