431114200132 has 192 divisors, whose sum is σ = 973217710080. Its totient is φ = 162250905600.

The previous prime is 431114200103. The next prime is 431114200171. The reversal of 431114200132 is 231002411134.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683223457 + ... + 683224087.

It is an arithmetic number, because the mean of its divisors is an integer number (5068842240).

Almost surely, 2^431114200132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431114200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486608855040).

431114200132 is an abundant number, since it is smaller than the sum of its proper divisors (542103509948).

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

431114200132 is a wasteful number, since it uses less digits than its factorization.

431114200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 431114200132 its reverse (231002411134), we get a palindrome (662116611266).

The spelling of 431114200132 in words is "four hundred thirty-one billion, one hundred fourteen million, two hundred thousand, one hundred thirty-two".