40442330410344 has 32 divisors (see below), whose sum is σ = 112339806696000. Its totient is φ = 13480776803376.

The previous prime is 40442330410277. The next prime is 40442330410351. The reversal of 40442330410344 is 44301403324404.

40442330410344 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 2 + 3 + 304 + 1 + 0 + 344 = 666.

40442330410344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40442330410299 and 40442330410308.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 93616505364 + ... + 93616505795.

It is an arithmetic number, because the mean of its divisors is an integer number (3510618959250).

Almost surely, 2^{40442330410344} is an apocalyptic number.

It is an amenable number.

40442330410344 is an abundant number, since it is smaller than the sum of its proper divisors (71897476285656).

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

40442330410344 is a wasteful number, since it uses less digits than its factorization.

40442330410344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187233011174 (or 187233011164 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 40442330410344 its reverse (44301403324404), we get a palindrome (84743733734748).

The spelling of 40442330410344 in words is "forty trillion, four hundred forty-two billion, three hundred thirty million, four hundred ten thousand, three hundred forty-four".