10041868512 has 192 divisors, whose sum is σ = 32630472000. Its totient is φ = 2983163904.

The previous prime is 10041868493. The next prime is 10041868513. The reversal of 10041868512 is 21586814001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041868513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310314 + ... + 341142.

It is an arithmetic number, because the mean of its divisors is an integer number (169950375).

Almost surely, 2^10041868512 is an apocalyptic number.

10041868512 is a gapful number since it is divisible by the number (12) 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 10041868512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315236000).

10041868512 is an abundant number, since it is smaller than the sum of its proper divisors (22588603488).

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

10041868512 is a wasteful number, since it uses less digits than its factorization.

10041868512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30890 (or 30876 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10041868512 in words is "ten billion, forty-one million, eight hundred sixty-eight thousand, five hundred twelve".