1004034304001 has 8 divisors (see below), whose sum is σ = 1032318244608. Its totient is φ = 975931092000.

The previous prime is 1004034303997. The next prime is 1004034304033.

It is a happy number.

1004034304001 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1004034304001 - 2² = 1004034303997 is a prime.

It is a super-2 number, since 2×1004034304001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004034304601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45170885 + ... + 45193106.

It is an arithmetic number, because the mean of its divisors is an integer number (129039780576).

Almost surely, 2^{1004034304001} is an apocalyptic number.

It is an amenable number.

1004034304001 is a deficient number, since it is larger than the sum of its proper divisors (28283940607).

1004034304001 is an equidigital number, since it uses as much as digits as its factorization.

1004034304001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90364303.

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 1004034304001 in words is "one trillion, four billion, thirty-four million, three hundred four thousand, one".