431412214134 has 192 divisors, whose sum is σ = 1005204349440. Its totient is φ = 122245885440.

The previous prime is 431412214117. The next prime is 431412214151.

It is a happy number.

431412214134 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (431412214117) and next prime (431412214151).

It is a super-2 number, since 2×431412214134² (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 95 ways as a sum of consecutive naturals, for example, 486371839 + ... + 486372725.

It is an arithmetic number, because the mean of its divisors is an integer number (5235439320).

Almost surely, 2^431412214134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431412214134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502602174720).

431412214134 is an abundant number, since it is smaller than the sum of its proper divisors (573792135306).

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

431412214134 is a wasteful number, since it uses less digits than its factorization.

431412214134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1064 counting only the distinct ones).

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

It can be divided in two parts, 431412 and 214134, that added together give a palindrome (645546).

The spelling of 431412214134 in words is "four hundred thirty-one billion, four hundred twelve million, two hundred fourteen thousand, one hundred thirty-four".