4000000000001 has 8 divisors (see below), whose sum is σ = 4014998994984. Its totient is φ = 3985005024000.

The previous prime is 3999999999967. The next prime is 4000000000039. The reversal of 4000000000001 is 1000000000004.

4000000000001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2000000²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 4000000 + 3999996000001 = 2000^2 + 1999999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4000000000001 - 2¹⁰ = 3999999998977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3999999999895 and 3999999999904.

It is not an unprimeable number, because it can be changed into a prime (4000000000901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 997001 + ... + 2999001.

It is an arithmetic number, because the mean of its divisors is an integer number (501874874373).

Almost surely, 2^{4000000000001} is an apocalyptic number.

It is an amenable number.

4000000000001 is a deficient number, since it is larger than the sum of its proper divisors (14998994983).

4000000000001 is a wasteful number, since it uses less digits than its factorization.

4000000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009491.

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 4000000000001 its reverse (1000000000004), we get a palindrome (5000000000005).

The spelling of 4000000000001 in words is "four trillion, one", and thus it is an aban number.