1004001441001 has 12 divisors (see below), whose sum is σ = 1091403450972. Its totient is φ = 923164409856.

The previous prime is 1004001440987. The next prime is 1004001441011. The reversal of 1004001441001 is 1001441004001.

1004001441001 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 6 ways, for example, as 53337440601 + 950664000400 = 230949^2 + 975020^2 .

It is not a de Polignac number, because 1004001441001 - 2¹⁵ = 1004001408233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004001441011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11514616 + ... + 11601481.

It is an arithmetic number, because the mean of its divisors is an integer number (90950287581).

Almost surely, 2^{1004001441001} is an apocalyptic number.

It is an amenable number.

1004001441001 is a deficient number, since it is larger than the sum of its proper divisors (87402009971).

1004001441001 is a wasteful number, since it uses less digits than its factorization.

1004001441001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23116380 (or 23116367 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1004001441001 its reverse (1001441004001), we get a palindrome (2005442445002).

The spelling of 1004001441001 in words is "one trillion, four billion, one million, four hundred forty-one thousand, one".