431064460134 has 192 divisors, whose sum is σ = 1189516723200. Its totient is φ = 109571616000.

The previous prime is 431064460109. The next prime is 431064460147.

431064460134 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 6 + 44 + 601 + 3 + 4 = 666.

431064460134 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16811844 + ... + 16837464.

It is an arithmetic number, because the mean of its divisors is an integer number (6195399600).

Almost surely, 2^431064460134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431064460134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594758361600).

431064460134 is an abundant number, since it is smaller than the sum of its proper divisors (758452263066).

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

431064460134 is a wasteful number, since it uses less digits than its factorization.

431064460134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25907 (or 25904 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, 431064 and 460134, that added together give a palindrome (891198).

The spelling of 431064460134 in words is "four hundred thirty-one billion, sixty-four million, four hundred sixty thousand, one hundred thirty-four".