10040432121325 has 24 divisors (see below), whose sum is σ = 12754365371496. Its totient is φ = 7836086016000.

The previous prime is 10040432121301. The next prime is 10040432121389. The reversal of 10040432121325 is 52312123404001.

It can be written as a sum of positive squares in 12 ways, for example, as 6994998777636 + 3045433343689 = 2644806^2 + 1745117^2 .

It is not a de Polignac number, because 10040432121325 - 2⁷ = 10040432121197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10040432121293 and 10040432121302.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24148899 + ... + 24561151.

It is an arithmetic number, because the mean of its divisors is an integer number (531431890479).

Almost surely, 2^{10040432121325} is an apocalyptic number.

It is an amenable number.

10040432121325 is a deficient number, since it is larger than the sum of its proper divisors (2713933250171).

10040432121325 is a wasteful number, since it uses less digits than its factorization.

10040432121325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436065 (or 436060 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 10040432121325 its reverse (52312123404001), we get a palindrome (62352555525326).

The spelling of 10040432121325 in words is "ten trillion, forty billion, four hundred thirty-two million, one hundred twenty-one thousand, three hundred twenty-five".