4000710677041 has 16 divisors (see below), whose sum is σ = 4409097960960. Its totient is φ = 3606717864960.

The previous prime is 4000710677027. The next prime is 4000710677057. The reversal of 4000710677041 is 1407760170004.

4000710677041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4000710677041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000710677941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5279121 + ... + 5989201.

It is an arithmetic number, because the mean of its divisors is an integer number (275568622560).

Almost surely, 2^{4000710677041} is an apocalyptic number.

It is an amenable number.

4000710677041 is a deficient number, since it is larger than the sum of its proper divisors (408387283919).

4000710677041 is a wasteful number, since it uses less digits than its factorization.

4000710677041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720216.

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 4000710677041 in words is "four trillion, seven hundred ten million, six hundred seventy-seven thousand, forty-one".