10040167760641 has 8 divisors (see below), whose sum is σ = 10569299105120. Its totient is φ = 9511106562432.

The previous prime is 10040167760621. The next prime is 10040167760657. The reversal of 10040167760641 is 14606776104001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10040167760641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10040167760621) 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 7 ways as a sum of consecutive naturals, for example, 17242635 + ... + 17815408.

It is an arithmetic number, because the mean of its divisors is an integer number (1321162388140).

Almost surely, 2^{10040167760641} is an apocalyptic number.

It is an amenable number.

10040167760641 is a deficient number, since it is larger than the sum of its proper divisors (529131344479).

10040167760641 is a wasteful number, since it uses less digits than its factorization.

10040167760641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35073135.

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 10040167760641 in words is "ten trillion, forty billion, one hundred sixty-seven million, seven hundred sixty thousand, six hundred forty-one".