10360442042496 has 768 divisors, whose sum is σ = 38534168736000. Its totient is φ = 2732326152192.

The previous prime is 10360442042459. The next prime is 10360442042497. The reversal of 10360442042496 is 69424024406301.

10360442042496 is a `hidden beast` number, since 1 + 0 + 3 + 60 + 44 + 20 + 42 + 496 = 666.

It is a super-3 number, since 3×10360442042496³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10360442042497) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372034845 + ... + 372062691.

It is an arithmetic number, because the mean of its divisors is an integer number (50174698875).

Almost surely, 2^{10360442042496} is an apocalyptic number.

10360442042496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10360442042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267084368000).

10360442042496 is an abundant number, since it is smaller than the sum of its proper divisors (28173726693504).

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

10360442042496 is an equidigital number, since it uses as much as digits as its factorization.

10360442042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27923 (or 27872 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

Adding to 10360442042496 its reverse (69424024406301), we get a palindrome (79784466448797).

The spelling of 10360442042496 in words is "ten trillion, three hundred sixty billion, four hundred forty-two million, forty-two thousand, four hundred ninety-six".