1004107404001 has 12 divisors (see below), whose sum is σ = 1107802774908. Its totient is φ = 909380282304.

The previous prime is 1004107403941. The next prime is 1004107404029. The reversal of 1004107404001 is 1004047014001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 36685656225 + 967421747776 = 191535^2 + 983576^2 .

It is not a de Polignac number, because 1004107404001 - 2⁹ = 1004107403489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004107404301) 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, 56042590 + ... + 56060503.

It is an arithmetic number, because the mean of its divisors is an integer number (92316897909).

Almost surely, 2^{1004107404001} is an apocalyptic number.

It is an amenable number.

1004107404001 is a deficient number, since it is larger than the sum of its proper divisors (103695370907).

1004107404001 is a wasteful number, since it uses less digits than its factorization.

1004107404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112103172 (or 112103159 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The spelling of 1004107404001 in words is "one trillion, four billion, one hundred seven million, four hundred four thousand, one".