340220110443040 has 192 divisors, whose sum is σ = 852434694375264. Its totient is φ = 127874617049088.

The previous prime is 340220110443007. The next prime is 340220110443043. The reversal of 340220110443040 is 40344011022043.

It can be written as a sum of positive squares in 16 ways, for example, as 297429620837904 + 42790489605136 = 17246148^2 + 6541444^2 .

It is not an unprimeable number, because it can be changed into a prime (340220110443043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21347805952 + ... + 21347821888.

Almost surely, 2^{340220110443040} 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 340220110443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426217347187632).

340220110443040 is an abundant number, since it is smaller than the sum of its proper divisors (512214583932224).

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

340220110443040 is a wasteful number, since it uses less digits than its factorization.

340220110443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28239 (or 28231 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 340220110443040 its reverse (40344011022043), we get a palindrome (380564121465083).

The spelling of 340220110443040 in words is "three hundred forty trillion, two hundred twenty billion, one hundred ten million, four hundred forty-three thousand, forty".