40160160001 has 16 divisors (see below), whose sum is σ = 45824779728. Its totient is φ = 34866432000.

The previous prime is 40160159993. The next prime is 40160160031. The reversal of 40160160001 is 10006106104.

It is a happy number.

It is a Cunningham number, because it is equal to 200400²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1969229376 + 38190930625 = 44376^2 + 195425^2 .

It is a cyclic number.

It is not a de Polignac number, because 40160160001 - 2³ = 40160159993 is a prime.

It is a super-2 number, since 2×40160160001² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40160160031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265951 + ... + 388651.

It is an arithmetic number, because the mean of its divisors is an integer number (2864048733).

Almost surely, 2^40160160001 is an apocalyptic number.

It is an amenable number.

40160160001 is a deficient number, since it is larger than the sum of its proper divisors (5664619727).

40160160001 is a wasteful number, since it uses less digits than its factorization.

40160160001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124212.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 40160160001 its reverse (10006106104), we get a palindrome (50166266105).

The spelling of 40160160001 in words is "forty billion, one hundred sixty million, one hundred sixty thousand, one".