40013210002321 has 8 divisors (see below), whose sum is σ = 41393571514920. Its totient is φ = 38632888199808.

The previous prime is 40013210002309. The next prime is 40013210002351. The reversal of 40013210002321 is 12320001231004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2923758010000 + 37089451992321 = 1709900^2 + 6090111^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 40013210002321 - 2¹³ = 40013209994129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40013210002351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7870266 + ... + 11915011.

It is an arithmetic number, because the mean of its divisors is an integer number (5174196439365).

Almost surely, 2^{40013210002321} is an apocalyptic number.

It is an amenable number.

40013210002321 is a deficient number, since it is larger than the sum of its proper divisors (1380361512599).

40013210002321 is a wasteful number, since it uses less digits than its factorization.

40013210002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19855043.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 40013210002321 its reverse (12320001231004), we get a palindrome (52333211233325).

The spelling of 40013210002321 in words is "forty trillion, thirteen billion, two hundred ten million, two thousand, three hundred twenty-one".