4040673673680 has 240 divisors, whose sum is σ = 15720936890880. Its totient is φ = 910930655232.

The previous prime is 4040673673609. The next prime is 4040673673681. The reversal of 4040673673680 is 863763760404.

It is a happy number.

4040673673680 is a `hidden beast` number, since 4 + 0 + 406 + 73 + 67 + 36 + 80 = 666.

4040673673680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040673673681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5123320 + ... + 5859159.

It is an arithmetic number, because the mean of its divisors is an integer number (65503903712).

Almost surely, 2^{4040673673680} is an apocalyptic number.

4040673673680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040673673680 is an abundant number, since it is smaller than the sum of its proper divisors (11680263217200).

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

4040673673680 is a wasteful number, since it uses less digits than its factorization.

4040673673680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10982578 (or 10982569 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 4040673673680 in words is "four trillion, forty billion, six hundred seventy-three million, six hundred seventy-three thousand, six hundred eighty".