344431311200442 has 192 divisors, whose sum is σ = 795384018374400. Its totient is φ = 111665133425664.

The previous prime is 344431311200377. The next prime is 344431311200447. The reversal of 344431311200442 is 244002113134443.

344431311200442 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 3 + 1 + 3 + 1 + 1 + 200 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 344431311200397 and 344431311200406.

It is not an unprimeable number, because it can be changed into a prime (344431311200447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1930395618 + ... + 1930574034.

It is an arithmetic number, because the mean of its divisors is an integer number (4142625095700).

Almost surely, 2^{344431311200442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344431311200442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397692009187200).

344431311200442 is an abundant number, since it is smaller than the sum of its proper divisors (450952707173958).

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

344431311200442 is a wasteful number, since it uses less digits than its factorization.

344431311200442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179139 (or 179127 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 344431311200442 its reverse (244002113134443), we get a palindrome (588433424334885).

The spelling of 344431311200442 in words is "three hundred forty-four trillion, four hundred thirty-one billion, three hundred eleven million, two hundred thousand, four hundred forty-two".