434633626336434 has 192 divisors, whose sum is σ = 1037360355812352. Its totient is φ = 120999623472000.

The previous prime is 434633626336423. The next prime is 434633626336457.

434633626336434 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9907964169 + ... + 9908008035.

It is an arithmetic number, because the mean of its divisors is an integer number (5402918519856).

Almost surely, 2^{434633626336434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434633626336434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518680177906176).

434633626336434 is an abundant number, since it is smaller than the sum of its proper divisors (602726729475918).

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

434633626336434 is a wasteful number, since it uses less digits than its factorization.

434633626336434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48301 (or 48294 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 60.

The spelling of 434633626336434 in words is "four hundred thirty-four trillion, six hundred thirty-three billion, six hundred twenty-six million, three hundred thirty-six thousand, four hundred thirty-four".