40344622644304 has 60 divisors (see below), whose sum is σ = 87328398406900. Its totient is φ = 18037834214400.

The previous prime is 40344622644281. The next prime is 40344622644307.

40344622644304 is nontrivially palindromic in base 10.

40344622644304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5195755536400 + 35148867107904 = 2279420^2 + 5928648^2 .

It is a super-2 number, since 2×40344622644304² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40344622644307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170694729 + ... + 170930920.

Almost surely, 2^{40344622644304} is an apocalyptic number.

40344622644304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40344622644304 is an abundant number, since it is smaller than the sum of its proper divisors (46983775762596).

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

40344622644304 is a wasteful number, since it uses less digits than its factorization.

40344622644304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341625740 (or 341625723 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 46.

It can be divided in two parts, 4034462 and 2644304, that added together give a palindrome (6678766).

The spelling of 40344622644304 in words is "forty trillion, three hundred forty-four billion, six hundred twenty-two million, six hundred forty-four thousand, three hundred four".