10040434244001 has 160 divisors (see below), whose sum is σ = 18195841382400. Its totient is φ = 5404682804832.

The previous prime is 10040434243999. The next prime is 10040434244011. The reversal of 10040434244001 is 10044243404001.

10040434244001 is a `hidden beast` number, since 10 + 0 + 404 + 3 + 4 + 244 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 10040434244001 - 2¹ = 10040434243999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10040434244011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 696133276 + ... + 696147698.

It is an arithmetic number, because the mean of its divisors is an integer number (113724008640).

Almost surely, 2^{10040434244001} is an apocalyptic number.

It is an amenable number.

10040434244001 is a deficient number, since it is larger than the sum of its proper divisors (8155407138399).

10040434244001 is an equidigital number, since it uses as much as digits as its factorization.

10040434244001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14678 (or 14631 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10040434244001 its reverse (10044243404001), we get a palindrome (20084677648002).

The spelling of 10040434244001 in words is "ten trillion, forty billion, four hundred thirty-four million, two hundred forty-four thousand, one".