344242400433040 has 160 divisors (see below), whose sum is σ = 820773801114624. Its totient is φ = 134235513392640.

The previous prime is 344242400433013. The next prime is 344242400433097. The reversal of 344242400433040 is 40334004242443.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202345155 + ... + 204039325.

Almost surely, 2^{344242400433040} 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 344242400433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410386900557312).

344242400433040 is an abundant number, since it is smaller than the sum of its proper divisors (476531400681584).

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

344242400433040 is a wasteful number, since it uses less digits than its factorization.

344242400433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694645 (or 1694639 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 37.

Adding to 344242400433040 its reverse (40334004242443), we get a palindrome (384576404675483).

The spelling of 344242400433040 in words is "three hundred forty-four trillion, two hundred forty-two billion, four hundred million, four hundred thirty-three thousand, forty".