1041004404401 has 16 divisors (see below), whose sum is σ = 1162781038608. Its totient is φ = 925699104000.

The previous prime is 1041004404343. The next prime is 1041004404413. The reversal of 1041004404401 is 1044044001401.

1041004404401 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 8 ways, for example, as 111139557376 + 929864847025 = 333376^2 + 964295^2 .

It is a cyclic number.

It is not a de Polignac number, because 1041004404401 - 2¹⁸ = 1041004142257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1041004404421) 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, 10665530 + ... + 10762691.

It is an arithmetic number, because the mean of its divisors is an integer number (72673814913).

Almost surely, 2^{1041004404401} is an apocalyptic number.

It is an amenable number.

1041004404401 is a deficient number, since it is larger than the sum of its proper divisors (121776634207).

1041004404401 is a wasteful number, since it uses less digits than its factorization.

1041004404401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21428372.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 1041004404401 its reverse (1044044001401), we get a palindrome (2085048405802).

The spelling of 1041004404401 in words is "one trillion, forty-one billion, four million, four hundred four thousand, four hundred one".