344513011040 has 96 divisors (see below), whose sum is σ = 888032950560. Its totient is φ = 125259264000.

The previous prime is 344513011033. The next prime is 344513011049. The reversal of 344513011040 is 40110315443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344513011049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20585396 + ... + 20602124.

It is an arithmetic number, because the mean of its divisors is an integer number (9250343235).

Almost surely, 2^344513011040 is an apocalyptic number.

It is an amenable number.

344513011040 is an abundant number, since it is smaller than the sum of its proper divisors (543519939520).

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

344513011040 is a wasteful number, since it uses less digits than its factorization.

344513011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28456 (or 28448 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 344513011040 its reverse (40110315443), we get a palindrome (384623326483).

The spelling of 344513011040 in words is "three hundred forty-four billion, five hundred thirteen million, eleven thousand, forty".