10042396932960 has 1152 divisors, whose sum is σ = 42380273295360. Its totient is φ = 2116664524800.

The previous prime is 10042396932959. The next prime is 10042396933027. The reversal of 10042396932960 is 6923969324001.

10042396932960 is a `hidden beast` number, since 10 + 0 + 423 + 96 + 9 + 32 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10042396932897 and 10042396932906.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 550893126 + ... + 550911354.

It is an arithmetic number, because the mean of its divisors is an integer number (36788431680).

Almost surely, 2^{10042396932960} is an apocalyptic number.

10042396932960 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 10042396932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21190136647680).

10042396932960 is an abundant number, since it is smaller than the sum of its proper divisors (32337876362400).

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

10042396932960 is a wasteful number, since it uses less digits than its factorization.

10042396932960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18372 (or 18361 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 10042396932960 in words is "ten trillion, forty-two billion, three hundred ninety-six million, nine hundred thirty-two thousand, nine hundred sixty".