431604406134 has 48 divisors (see below), whose sum is σ = 1021206947904. Its totient is φ = 130654460400.

The previous prime is 431604406117. The next prime is 431604406151.

431604406134 is a `hidden beast` number, since 4 + 3 + 1 + 604 + 40 + 6 + 1 + 3 + 4 = 666.

431604406134 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (431604406117) and next prime (431604406151).

It is a congruent number.

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, 930204 + ... + 1314719.

It is an arithmetic number, because the mean of its divisors is an integer number (21275144748).

Almost surely, 2^431604406134 is an apocalyptic number.

431604406134 is an abundant number, since it is smaller than the sum of its proper divisors (589602541770).

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

431604406134 is a wasteful number, since it uses less digits than its factorization.

431604406134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245913 (or 2245910 counting only the distinct ones).

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

It can be divided in two parts, 431604 and 406134, that added together give a palindrome (837738).

The spelling of 431604406134 in words is "four hundred thirty-one billion, six hundred four million, four hundred six thousand, one hundred thirty-four".