10040413401 has 40 divisors (see below), whose sum is σ = 16141393224. Its totient is φ = 6196538880.

The previous prime is 10040413391. The next prime is 10040413403. The reversal of 10040413401 is 10431404001.

10040413401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 480267225 + 9560146176 = 21915^2 + 97776^2 .

It is not a de Polignac number, because 10040413401 - 2¹⁹ = 10039889113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10040413403) 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 39 ways as a sum of consecutive naturals, for example, 24231 + ... + 143763.

Almost surely, 2^10040413401 is an apocalyptic number.

It is an amenable number.

10040413401 is a deficient number, since it is larger than the sum of its proper divisors (6100979823).

10040413401 is a wasteful number, since it uses less digits than its factorization.

10040413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119623 (or 119614 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10040413401 its reverse (10431404001), we get a palindrome (20471817402).

The spelling of 10040413401 in words is "ten billion, forty million, four hundred thirteen thousand, four hundred one".