4000908738991 has 2 divisors, whose sum is σ = 4000908738992. Its totient is φ = 4000908738990.

The previous prime is 4000908738917. The next prime is 4000908739007. The reversal of 4000908738991 is 1998378090004.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4000908738991 - 2⁴¹ = 1801885483439 is a prime.

It is a super-3 number, since 3×4000908738991³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000908738791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000454369495 + 2000454369496.

It is an arithmetic number, because the mean of its divisors is an integer number (2000454369496).

Almost surely, 2^{4000908738991} is an apocalyptic number.

4000908738991 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000908738991 is an equidigital number, since it uses as much as digits as its factorization.

4000908738991 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 4000908738991 in words is "four trillion, nine hundred eight million, seven hundred thirty-eight thousand, nine hundred ninety-one".