10001040400067 has 16 divisors (see below), whose sum is σ = 10346803244352. Its totient is φ = 9659256122880.

The previous prime is 10001040400051. The next prime is 10001040400073. The reversal of 10001040400067 is 76000404010001.

10001040400067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10001040400067 - 2⁴ = 10001040400051 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001040400007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162131543 + ... + 162193215.

It is an arithmetic number, because the mean of its divisors is an integer number (646675202772).

Almost surely, 2^{10001040400067} is an apocalyptic number.

10001040400067 is a deficient number, since it is larger than the sum of its proper divisors (345762844285).

10001040400067 is a wasteful number, since it uses less digits than its factorization.

10001040400067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93838.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 10001040400067 its reverse (76000404010001), we get a palindrome (86001444410068).

The spelling of 10001040400067 in words is "ten trillion, one billion, forty million, four hundred thousand, sixty-seven".