10001041517808 has 240 divisors, whose sum is σ = 31670721194112. Its totient is φ = 3030009120000.

The previous prime is 10001041517683. The next prime is 10001041517833. The reversal of 10001041517808 is 80871514010001.

10001041517808 is a `hidden beast` number, since 10 + 0 + 0 + 10 + 41 + 517 + 80 + 8 = 666.

It is a super-2 number, since 2×10001041517808² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 241661278 + ... + 241702658.

Almost surely, 2^{10001041517808} is an apocalyptic number.

10001041517808 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 10001041517808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15835360597056).

10001041517808 is an abundant number, since it is smaller than the sum of its proper divisors (21669679676304).

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

10001041517808 is a wasteful number, since it uses less digits than its factorization.

10001041517808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47066 (or 47048 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

Adding to 10001041517808 its reverse (80871514010001), we get a palindrome (90872555527809).

The spelling of 10001041517808 in words is "ten trillion, one billion, forty-one million, five hundred seventeen thousand, eight hundred eight".