431551222144 has 128 divisors (see below), whose sum is σ = 996040281600. Its totient is φ = 182426210304.

The previous prime is 431551222133. The next prime is 431551222169. The reversal of 431551222144 is 441222155134.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22328517 + ... + 22347835.

It is an arithmetic number, because the mean of its divisors is an integer number (7781564700).

Almost surely, 2^431551222144 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 431551222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498020140800).

431551222144 is an abundant number, since it is smaller than the sum of its proper divisors (564489059456).

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

431551222144 is a wasteful number, since it uses less digits than its factorization.

431551222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19680 (or 19668 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

Adding to 431551222144 its reverse (441222155134), we get a palindrome (872773377278).

The spelling of 431551222144 in words is "four hundred thirty-one billion, five hundred fifty-one million, two hundred twenty-two thousand, one hundred forty-four".