344401433313140 has 36 divisors (see below), whose sum is σ = 841323501381636. Its totient is φ = 118080491421312.

The previous prime is 344401433313103. The next prime is 344401433313173. The reversal of 344401433313140 is 41313334104443.

It can be written as a sum of positive squares in 2 ways, for example, as 110415584125924 + 233985849187216 = 10507882^2 + 15296596^2 .

It is a super-2 number, since 2×344401433313140² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344401433313094 and 344401433313103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175715016017 + ... + 175715017976.

It is an arithmetic number, because the mean of its divisors is an integer number (23370097260601).

Almost surely, 2^{344401433313140} is an apocalyptic number.

It is an amenable number.

344401433313140 is an abundant number, since it is smaller than the sum of its proper divisors (496922068068496).

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

344401433313140 is a wasteful number, since it uses less digits than its factorization.

344401433313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351430034016 (or 351430034007 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 344401433313140 its reverse (41313334104443), we get a palindrome (385714767417583).

The spelling of 344401433313140 in words is "three hundred forty-four trillion, four hundred one billion, four hundred thirty-three million, three hundred thirteen thousand, one hundred forty".