10168933703040 has 768 divisors, whose sum is σ = 40655246561280. Its totient is φ = 2294114254848.

The previous prime is 10168933702997. The next prime is 10168933703041. The reversal of 10168933703040 is 4030733986101.

10168933703040 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 8 + 9 + 337 + 0 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10168933703041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1299872569 + ... + 1299880391.

It is an arithmetic number, because the mean of its divisors is an integer number (52936518960).

Almost surely, 2^{10168933703040} is an apocalyptic number.

10168933703040 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 10168933703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327623280640).

10168933703040 is an abundant number, since it is smaller than the sum of its proper divisors (30486312858240).

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

10168933703040 is a wasteful number, since it uses less digits than its factorization.

10168933703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10168933703040 in words is "ten trillion, one hundred sixty-eight billion, nine hundred thirty-three million, seven hundred three thousand, forty".