431400004134 has 64 divisors (see below), whose sum is σ = 954087137280. Its totient is φ = 128945700000.

The previous prime is 431400004129. The next prime is 431400004141.

431400004134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×431400004134² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5335509 + ... + 5415759.

It is an arithmetic number, because the mean of its divisors is an integer number (14907611520).

Almost surely, 2^431400004134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431400004134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477043568640).

431400004134 is an abundant number, since it is smaller than the sum of its proper divisors (522687133146).

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

431400004134 is a wasteful number, since it uses less digits than its factorization.

431400004134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81377.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 43140000 and 4134, that added together give a palindrome (43144134).

The spelling of 431400004134 in words is "four hundred thirty-one billion, four hundred million, four thousand, one hundred thirty-four".