40409941906944 has 160 divisors (see below), whose sum is σ = 119778126864000. Its totient is φ = 13451749926912.

The previous prime is 40409941906909. The next prime is 40409941906949. The reversal of 40409941906944 is 44960914990404.

40409941906944 is a `hidden beast` number, since 4 + 0 + 40 + 99 + 419 + 0 + 6 + 94 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40409941906949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8238147 + ... + 12193725.

It is an arithmetic number, because the mean of its divisors is an integer number (748613292900).

Almost surely, 2^{40409941906944} 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 40409941906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59889063432000).

40409941906944 is an abundant number, since it is smaller than the sum of its proper divisors (79368184957056).

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

40409941906944 is an equidigital number, since it uses as much as digits as its factorization.

40409941906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956345 (or 3956323 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 40409941906944 in words is "forty trillion, four hundred nine billion, nine hundred forty-one million, nine hundred six thousand, nine hundred forty-four".