340041224320 has 256 divisors, whose sum is σ = 1010285291520. Its totient is φ = 106761093120.

The previous prime is 340041224309. The next prime is 340041224323. The reversal of 340041224320 is 23422140043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (340041224323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2757585 + ... + 2878255.

It is an arithmetic number, because the mean of its divisors is an integer number (3946426920).

Almost surely, 2^340041224320 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 340041224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505142645760).

340041224320 is an abundant number, since it is smaller than the sum of its proper divisors (670244067200).

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

340041224320 is a wasteful number, since it uses less digits than its factorization.

340041224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120751 (or 120739 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 340041224320 its reverse (23422140043), we get a palindrome (363463364363).

The spelling of 340041224320 in words is "three hundred forty billion, forty-one million, two hundred twenty-four thousand, three hundred twenty".