4000000011001 has 2 divisors, whose sum is σ = 4000000011002. Its totient is φ = 4000000011000.

The previous prime is 4000000010953. The next prime is 4000000011017. The reversal of 4000000011001 is 1001100000004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3991224818025 + 8775192976 = 1997805^2 + 93676^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000000011001 - 2³⁷ = 3862561057529 is a prime.

It is not a weakly prime, because it can be changed into another prime (4000000011041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000000005500 + 2000000005501.

It is an arithmetic number, because the mean of its divisors is an integer number (2000000005501).

Almost surely, 2^{4000000011001} is an apocalyptic number.

It is an amenable number.

4000000011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000000011001 is an equidigital number, since it uses as much as digits as its factorization.

4000000011001 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 7.

Adding to 4000000011001 its reverse (1001100000004), we get a palindrome (5001100011005).

The spelling of 4000000011001 in words is "four trillion, eleven thousand, one".