1004406707673 has 6 divisors (see below), whose sum is σ = 1450809688874. Its totient is φ = 669604471776.

The previous prime is 1004406707671. The next prime is 1004406707723. The reversal of 1004406707673 is 3767076044001.

1004406707673 is a `hidden beast` number, since 1 + 0 + 0 + 440 + 6 + 70 + 76 + 73 = 666.

It can be written as a sum of positive squares in only one way, i.e., 798678241344 + 205728466329 = 893688^2 + 453573^2 .

It is not a de Polignac number, because 1004406707673 - 2¹ = 1004406707671 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004406707671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55800372640 + ... + 55800372657.

Almost surely, 2^{1004406707673} is an apocalyptic number.

It is an amenable number.

1004406707673 is a deficient number, since it is larger than the sum of its proper divisors (446402981201).

1004406707673 is a wasteful number, since it uses less digits than its factorization.

1004406707673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111600745303 (or 111600745300 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 1004406707673 in words is "one trillion, four billion, four hundred six million, seven hundred seven thousand, six hundred seventy-three".