1042442442401 has 8 divisors (see below), whose sum is σ = 1054318766184. Its totient is φ = 1030596611200.

The previous prime is 1042442442389. The next prime is 1042442442413.

1042442442401 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1042442442389) and next prime (1042442442413).

It can be written as a sum of positive squares in 4 ways, for example, as 965549925376 + 76892517025 = 982624^2 + 277295^2 .

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 1042442442401 - 2¹⁸ = 1042442180257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1942442442401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7554380 + ... + 7691133.

It is an arithmetic number, because the mean of its divisors is an integer number (131789845773).

Almost surely, 2^{1042442442401} is an apocalyptic number.

It is an amenable number.

1042442442401 is a deficient number, since it is larger than the sum of its proper divisors (11876323783).

1042442442401 is a wasteful number, since it uses less digits than its factorization.

1042442442401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15246291.

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 1042442442401 in words is "one trillion, forty-two billion, four hundred forty-two million, four hundred forty-two thousand, four hundred one".