240311673114344 has 256 divisors, whose sum is σ = 533483745480000. Its totient is φ = 100414362746880.

The previous prime is 240311673114343. The next prime is 240311673114407. The reversal of 240311673114344 is 443411376113042.

It can be written as a sum of positive squares in 32 ways, for example, as 1336248145444 + 238975424968900 = 1155962^2 + 15458830^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240311673114295 and 240311673114304.

It is not an unprimeable number, because it can be changed into a prime (240311673114343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 51691043732 + ... + 51691048380.

Almost surely, 2^{240311673114344} 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 240311673114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266741872740000).

240311673114344 is an abundant number, since it is smaller than the sum of its proper divisors (293172072365656).

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

240311673114344 is a wasteful number, since it uses less digits than its factorization.

240311673114344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 240311673114344 in words is "two hundred forty trillion, three hundred eleven billion, six hundred seventy-three million, one hundred fourteen thousand, three hundred forty-four".