344242120300040 has 32 divisors (see below), whose sum is σ = 774546072246360. Its totient is φ = 137696616729600.

The previous prime is 344242120300021. The next prime is 344242120300061. The reversal of 344242120300040 is 40003021242443.

It can be written as a sum of positive squares in 4 ways, for example, as 320450884904164 + 23791235395876 = 17901142^2 + 4877626^2 .

It is a super-2 number, since 2×344242120300040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344242120299976 and 344242120300012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17952800 + ... + 31792880.

Almost surely, 2^{344242120300040} is an apocalyptic number.

It is an amenable number.

344242120300040 is an abundant number, since it is smaller than the sum of its proper divisors (430303951946320).

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

344242120300040 is a wasteful number, since it uses less digits than its factorization.

344242120300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14461913 (or 14461909 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 344242120300040 its reverse (40003021242443), we get a palindrome (384245141542483).

The spelling of 344242120300040 in words is "three hundred forty-four trillion, two hundred forty-two billion, one hundred twenty million, three hundred thousand, forty".