40011111111001 has 2 divisors, whose sum is σ = 40011111111002. Its totient is φ = 40011111111000.

The previous prime is 40011111110989. The next prime is 40011111111143. The reversal of 40011111111001 is 10011111111004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31430599690000 + 8580511421001 = 5606300^2 + 2929251^2 .

It is a cyclic number.

It is not a de Polignac number, because 40011111111001 - 2¹¹ = 40011111108953 is a prime.

It is not a weakly prime, because it can be changed into another prime (40011111111401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20005555555500 + 20005555555501.

It is an arithmetic number, because the mean of its divisors is an integer number (20005555555501).

Almost surely, 2^{40011111111001} is an apocalyptic number.

It is an amenable number.

40011111111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

40011111111001 is an equidigital number, since it uses as much as digits as its factorization.

40011111111001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 40011111111001 its reverse (10011111111004), we get a palindrome (50022222222005).

The spelling of 40011111111001 in words is "forty trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one".