1004042404001 has 64 divisors (see below), whose sum is σ = 1284551116800. Its totient is φ = 763820928000.

The previous prime is 1004042403997. The next prime is 1004042404009.

It is a happy number.

1004042404001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1004042404001 - 2² = 1004042403997 is a prime.

It is a super-2 number, since 2×1004042404001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004042404009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44280095 + ... + 44302763.

It is an arithmetic number, because the mean of its divisors is an integer number (20071111200).

Almost surely, 2^{1004042404001} is an apocalyptic number.

It is an amenable number.

1004042404001 is a deficient number, since it is larger than the sum of its proper divisors (280508712799).

1004042404001 is a wasteful number, since it uses less digits than its factorization.

1004042404001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22930.

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 1004042404001 in words is "one trillion, four billion, forty-two million, four hundred four thousand, one".