1042681248001 has 8 divisors (see below), whose sum is σ = 1049240180520. Its totient is φ = 1036128429312.

The previous prime is 1042681247917. The next prime is 1042681248017. The reversal of 1042681248001 is 1008421862401.

It can be written as a sum of positive squares in 4 ways, for example, as 67029210000 + 975652038001 = 258900^2 + 987751^2 .

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 1042681248001 - 2⁷ = 1042681247873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1042681248601) 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, 1186056 + ... + 1868713.

It is an arithmetic number, because the mean of its divisors is an integer number (131155022565).

Almost surely, 2^{1042681248001} is an apocalyptic number.

It is an amenable number.

1042681248001 is a deficient number, since it is larger than the sum of its proper divisors (6558932519).

1042681248001 is a wasteful number, since it uses less digits than its factorization.

1042681248001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056915.

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 1042681248001 in words is "one trillion, forty-two billion, six hundred eighty-one million, two hundred forty-eight thousand, one".