401000000001 has 16 divisors (see below), whose sum is σ = 553038102528. Its totient is φ = 258182744400.

The previous prime is 400999999991. The next prime is 401000000017. The reversal of 401000000001 is 100000000104.

It is not a de Polignac number, because 401000000001 - 2¹⁴ = 400999983617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401000000081) 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, 4345201 + ... + 4436526.

It is an arithmetic number, because the mean of its divisors is an integer number (34564881408).

Almost surely, 2^401000000001 is an apocalyptic number.

It is an amenable number.

401000000001 is a deficient number, since it is larger than the sum of its proper divisors (152038102527).

401000000001 is a wasteful number, since it uses less digits than its factorization.

401000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8782252.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 401000000001 its reverse (100000000104), we get a palindrome (501000000105).

The spelling of 401000000001 in words is "four hundred one billion, one", and thus it is an aban number.