434022220434 has 32 divisors (see below), whose sum is σ = 972551025216. Its totient is φ = 127967238720.

The previous prime is 434022220393. The next prime is 434022220453.

434022220434 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×434022220434³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88863697 + ... + 88868580.

It is an arithmetic number, because the mean of its divisors is an integer number (30392219538).

Almost surely, 2^434022220434 is an apocalyptic number.

434022220434 is an abundant number, since it is smaller than the sum of its proper divisors (538528804782).

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

434022220434 is a wasteful number, since it uses less digits than its factorization.

434022220434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177732330.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 434022 and 220434, that added together give a palindrome (654456).

The spelling of 434022220434 in words is "four hundred thirty-four billion, twenty-two million, two hundred twenty thousand, four hundred thirty-four".