434510545015434 has 64 divisors (see below), whose sum is σ = 913999811328000. Its totient is φ = 137442587675712.

The previous prime is 434510545015433. The next prime is 434510545015537.

434510545015434 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (434510545015433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4084297 + ... + 29760755.

It is an arithmetic number, because the mean of its divisors is an integer number (14281247052000).

Almost surely, 2^{434510545015434} is an apocalyptic number.

434510545015434 is an abundant number, since it is smaller than the sum of its proper divisors (479489266312566).

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

434510545015434 is a wasteful number, since it uses less digits than its factorization.

434510545015434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25677459.

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 434510545015434 in words is "four hundred thirty-four trillion, five hundred ten billion, five hundred forty-five million, fifteen thousand, four hundred thirty-four".