431044042344000 has 448 divisors, whose sum is σ = 1426221729354240. Its totient is φ = 114709974220800.

The previous prime is 431044042343839. The next prime is 431044042344001. The reversal of 431044042344000 is 443240440134.

It is not an unprimeable number, because it can be changed into a prime (431044042344001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24312927136 + ... + 24312944864.

It is an arithmetic number, because the mean of its divisors is an integer number (3183530645880).

Almost surely, 2^{431044042344000} is an apocalyptic number.

431044042344000 is a gapful number since it is divisible by the number (40) 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 431044042344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713110864677120).

431044042344000 is an abundant number, since it is smaller than the sum of its proper divisors (995177687010240).

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

431044042344000 is a wasteful number, since it uses less digits than its factorization.

431044042344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19775 (or 19755 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 431044042344000 its reverse (443240440134), we get a palindrome (431487282784134).

The spelling of 431044042344000 in words is "four hundred thirty-one trillion, forty-four billion, forty-two million, three hundred forty-four thousand".