40673183605920 has 144 divisors (see below), whose sum is σ = 138799121053320. Its totient is φ = 10846035228672.

The previous prime is 40673183605909. The next prime is 40673183605937. The reversal of 40673183605920 is 2950638137604.

40673183605920 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 3 + 1 + 8 + 3 + 605 + 9 + 20 = 666.

40673183605920 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 4 ways, for example, as 37751832639504 + 2921350966416 = 6144252^2 + 1709196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 143439322 + ... + 143722598.

It is a 1-persistent number, because it is pandigital, but 2⋅40673183605920 = 81346367211840 is not.

Almost surely, 2^{40673183605920} is an apocalyptic number.

40673183605920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40673183605920 is an abundant number, since it is smaller than the sum of its proper divisors (98125937447400).

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

40673183605920 is a wasteful number, since it uses less digits than its factorization.

40673183605920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383007 (or 382996 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 40673183605920 in words is "forty trillion, six hundred seventy-three billion, one hundred eighty-three million, six hundred five thousand, nine hundred twenty".