10041682216968 has 128 divisors (see below), whose sum is σ = 28239382080000. Its totient is φ = 3305756840256.

The previous prime is 10041682216949. The next prime is 10041682217009. The reversal of 10041682216968 is 86961228614001.

10041682216968 is a `hidden beast` number, since 1 + 0 + 0 + 416 + 8 + 2 + 2 + 169 + 68 = 666.

It is a super-2 number, since 2×10041682216968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52595103 + ... + 52785681.

It is an arithmetic number, because the mean of its divisors is an integer number (220620172500).

Almost surely, 2^{10041682216968} is an apocalyptic number.

10041682216968 is a gapful number since it is divisible by the number (18) 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 10041682216968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119691040000).

10041682216968 is an abundant number, since it is smaller than the sum of its proper divisors (18197699863032).

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

10041682216968 is a wasteful number, since it uses less digits than its factorization.

10041682216968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193616 (or 193606 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10041682216968 in words is "ten trillion, forty-one billion, six hundred eighty-two million, two hundred sixteen thousand, nine hundred sixty-eight".