434016610434 has 48 divisors (see below), whose sum is σ = 1025901661824. Its totient is φ = 131514516000.

The previous prime is 434016610427. The next prime is 434016610459.

434016610434 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 1 + 6 + 610 + 4 + 34 = 666.

434016610434 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8077959 + ... + 8131509.

It is an arithmetic number, because the mean of its divisors is an integer number (21372951288).

Almost surely, 2^434016610434 is an apocalyptic number.

434016610434 is an abundant number, since it is smaller than the sum of its proper divisors (591885051390).

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

434016610434 is a wasteful number, since it uses less digits than its factorization.

434016610434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94503 (or 94500 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 434016610434 in words is "four hundred thirty-four billion, sixteen million, six hundred ten thousand, four hundred thirty-four".