10005466842 has 320 divisors, whose sum is σ = 28435968000. Its totient is φ = 2565053568.

The previous prime is 10005466799. The next prime is 10005466901. The reversal of 10005466842 is 24866450001.

10005466842 is a `hidden beast` number, since 10 + 0 + 0 + 546 + 68 + 42 = 666.

It is a super-2 number, since 2×10005466842² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005466797 and 10005466806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41863759 + ... + 41863997.

It is an arithmetic number, because the mean of its divisors is an integer number (88862400).

Almost surely, 2^10005466842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005466842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217984000).

10005466842 is an abundant number, since it is smaller than the sum of its proper divisors (18430501158).

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

10005466842 is a wasteful number, since it uses less digits than its factorization.

10005466842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10005466842 in words is "ten billion, five million, four hundred sixty-six thousand, eight hundred forty-two".