10242073096704 has 120 divisors (see below), whose sum is σ = 29589400032192. Its totient is φ = 3410549790720.

The previous prime is 10242073096691. The next prime is 10242073096741. The reversal of 10242073096704 is 40769037024201.

10242073096704 is a `hidden beast` number, since 1 + 0 + 2 + 420 + 73 + 0 + 96 + 70 + 4 = 666.

It is a super-2 number, since 2×10242073096704² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10242073096704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3399109 + ... + 5660219.

Almost surely, 2^{10242073096704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10242073096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794700016096).

10242073096704 is an abundant number, since it is smaller than the sum of its proper divisors (19347326935488).

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

10242073096704 is an equidigital number, since it uses as much as digits as its factorization.

10242073096704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262118 (or 2262099 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10242073096704 in words is "ten trillion, two hundred forty-two billion, seventy-three million, ninety-six thousand, seven hundred four".