10140044400321 has 16 divisors (see below), whose sum is σ = 14763629687040. Its totient is φ = 6139450539920.

The previous prime is 10140044400307. The next prime is 10140044400337. The reversal of 10140044400321 is 12300444004101.

It is a cyclic number.

It is not a de Polignac number, because 10140044400321 - 2¹⁰ = 10140044399297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10140044400291 and 10140044400300.

It is not an unprimeable number, because it can be changed into a prime (10140044400361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150738735 + ... + 150805988.

It is an arithmetic number, because the mean of its divisors is an integer number (922726855440).

Almost surely, 2^{10140044400321} is an apocalyptic number.

10140044400321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10140044400321 is a deficient number, since it is larger than the sum of its proper divisors (4623585286719).

10140044400321 is a wasteful number, since it uses less digits than its factorization.

10140044400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301545756.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10140044400321 its reverse (12300444004101), we get a palindrome (22440488404422).

The spelling of 10140044400321 in words is "ten trillion, one hundred forty billion, forty-four million, four hundred thousand, three hundred twenty-one".