434456179570434 has 256 divisors, whose sum is σ = 1081932259000320. Its totient is φ = 113587254443520.

The previous prime is 434456179570381. The next prime is 434456179570531. The reversal of 434456179570434 is 434075971654434.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1754921449 + ... + 1755168995.

It is an arithmetic number, because the mean of its divisors is an integer number (4226297886720).

Almost surely, 2^{434456179570434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434456179570434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540966129500160).

434456179570434 is an abundant number, since it is smaller than the sum of its proper divisors (647476079429886).

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

434456179570434 is a wasteful number, since it uses less digits than its factorization.

434456179570434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248285.

The product of its (nonzero) digits is 609638400, while the sum is 66.

The spelling of 434456179570434 in words is "four hundred thirty-four trillion, four hundred fifty-six billion, one hundred seventy-nine million, five hundred seventy thousand, four hundred thirty-four".