344141321320000 has 140 divisors (see below), whose sum is σ = 853399781150796. Its totient is φ = 137649890560000.

The previous prime is 344141321319883. The next prime is 344141321320037. The reversal of 344141321320000 is 23123141443.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 302836843275264 + 41304478044736 = 17402208^2 + 6426856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 875523510 + ... + 875916490.

Almost surely, 2^{344141321320000} 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 344141321320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426699890575398).

344141321320000 is an abundant number, since it is smaller than the sum of its proper divisors (509258459830796).

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

344141321320000 is an equidigital number, since it uses as much as digits as its factorization.

344141321320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414906 (or 414881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 344141321320000 its reverse (23123141443), we get a palindrome (344164444461443).

The spelling of 344141321320000 in words is "three hundred forty-four trillion, one hundred forty-one billion, three hundred twenty-one million, three hundred twenty thousand".