344032240202240 has 160 divisors (see below), whose sum is σ = 844180348999680. Its totient is φ = 134403760144384.

The previous prime is 344032240202237. The next prime is 344032240202243. The reversal of 344032240202240 is 42202042230443.

It is an interprime number because it is at equal distance from previous prime (344032240202237) and next prime (344032240202243).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×344032240202240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 344032240202197 and 344032240202206.

It is not an unprimeable number, because it can be changed into a prime (344032240202243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54648614 + ... + 60617946.

It is an arithmetic number, because the mean of its divisors is an integer number (5276127181248).

Almost surely, 2^{344032240202240} 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 344032240202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422090174499840).

344032240202240 is an abundant number, since it is smaller than the sum of its proper divisors (500148108797440).

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

344032240202240 is an equidigital number, since it uses as much as digits as its factorization.

344032240202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969882 (or 5969866 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 344032240202240 its reverse (42202042230443), we get a palindrome (386234282432683).

The spelling of 344032240202240 in words is "three hundred forty-four trillion, thirty-two billion, two hundred forty million, two hundred two thousand, two hundred forty".