431144242144 has 96 divisors (see below), whose sum is σ = 1062480851712. Its totient is φ = 167308800000.

The previous prime is 431144242091. The next prime is 431144242171. The reversal of 431144242144 is 441242441134.

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, 269904 + ... + 967024.

It is an arithmetic number, because the mean of its divisors is an integer number (11067508872).

Almost surely, 2^431144242144 is an apocalyptic number.

431144242144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431144242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531240425856).

431144242144 is an abundant number, since it is smaller than the sum of its proper divisors (631336609568).

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

431144242144 is a wasteful number, since it uses less digits than its factorization.

431144242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697400 (or 697392 counting only the distinct ones).

The product of its digits is 49152, while the sum is 34.

Adding to 431144242144 its reverse (441242441134), we get a palindrome (872386683278).

The spelling of 431144242144 in words is "four hundred thirty-one billion, one hundred forty-four million, two hundred forty-two thousand, one hundred forty-four".