1001067104004 has 48 divisors (see below), whose sum is σ = 2682285070080. Its totient is φ = 287387684640.

The previous prime is 1001067103997. The next prime is 1001067104027. The reversal of 1001067104004 is 4004017601001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199572274 + ... + 199577289.

It is an arithmetic number, because the mean of its divisors is an integer number (55880938960).

Almost surely, 2^{1001067104004} is an apocalyptic number.

It is an amenable number.

1001067104004 is an abundant number, since it is smaller than the sum of its proper divisors (1681217966076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001067104004 is a wasteful number, since it uses less digits than its factorization.

1001067104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399149600 (or 399149598 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 1001067104004 in words is "one trillion, one billion, sixty-seven million, one hundred four thousand, four".