431214412134 has 64 divisors (see below), whose sum is σ = 955081128960. Its totient is φ = 128692761120.

The previous prime is 431214412051. The next prime is 431214412157.

It is a happy number.

431214412134 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29898777 + ... + 29913195.

It is an arithmetic number, because the mean of its divisors is an integer number (14923142640).

Almost surely, 2^431214412134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431214412134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477540564480).

431214412134 is an abundant number, since it is smaller than the sum of its proper divisors (523866716826).

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

431214412134 is a wasteful number, since it uses less digits than its factorization.

431214412134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21265.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 431214 and 412134, that added together give a palindrome (843348).

The spelling of 431214412134 in words is "four hundred thirty-one billion, two hundred fourteen million, four hundred twelve thousand, one hundred thirty-four".