10404040401 has 24 divisors (see below), whose sum is σ = 15187022760. Its totient is φ = 6862752000.

The previous prime is 10404040393. The next prime is 10404040421.

10404040401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 10004000400 + 400040001 = 100020^2 + 20001^2 .

It is not a de Polignac number, because 10404040401 - 2³ = 10404040393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10404040421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1841541 + ... + 1847181.

It is an arithmetic number, because the mean of its divisors is an integer number (632792615).

Almost surely, 2^10404040401 is an apocalyptic number.

It is an amenable number.

10404040401 is a deficient number, since it is larger than the sum of its proper divisors (4782982359).

10404040401 is a wasteful number, since it uses less digits than its factorization.

10404040401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 104040 and 40401, that added together give a palindrome (144441).

The spelling of 10404040401 in words is "ten billion, four hundred four million, forty thousand, four hundred one".