10080042336000 has 3456 divisors, whose sum is σ = 48580792565760. Its totient is φ = 1946861568000.

The previous prime is 10080042335959. The next prime is 10080042336017. The reversal of 10080042336000 is 63324008001.

It is a happy number.

10080042336000 is a `hidden beast` number, since 10 + 0 + 8 + 0 + 0 + 42 + 3 + 3 + 600 + 0 = 666.

10080042336000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15436511674 + ... + 15436512326.

Almost surely, 2^{10080042336000} is an apocalyptic number.

10080042336000 is a gapful number since it is divisible by the number (10) 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 10080042336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24290396282880).

10080042336000 is an abundant number, since it is smaller than the sum of its proper divisors (38500750229760).

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

10080042336000 is a wasteful number, since it uses less digits than its factorization.

10080042336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10080042336000 in words is "ten trillion, eighty billion, forty-two million, three hundred thirty-six thousand".