434505505434 has 64 divisors (see below), whose sum is σ = 1166784030720. Its totient is φ = 104177142720.

The previous prime is 434505505433. The next prime is 434505505463.

434505505434 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (434505505433) 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, 36166614 + ... + 36178625.

It is an arithmetic number, because the mean of its divisors is an integer number (18231000480).

Almost surely, 2^434505505434 is an apocalyptic number.

434505505434 is an abundant number, since it is smaller than the sum of its proper divisors (732278525286).

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

434505505434 is a wasteful number, since it uses less digits than its factorization.

434505505434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72345275.

The product of its (nonzero) digits is 1440000, while the sum is 42.

It can be divided in two parts, 434505 and 505434, that added together give a palindrome (939939).

The spelling of 434505505434 in words is "four hundred thirty-four billion, five hundred five million, five hundred five thousand, four hundred thirty-four".