10400240022321 has 8 divisors (see below), whose sum is σ = 13867002236224. Its totient is φ = 6933485578320.

The previous prime is 10400240022299. The next prime is 10400240022397. The reversal of 10400240022321 is 12322004200401.

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

It is not a de Polignac number, because 10400240022321 - 2¹⁴ = 10400240005937 is a prime.

It is a super-3 number, since 3×10400240022321³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10400240029321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2918631 + ... + 5414691.

It is an arithmetic number, because the mean of its divisors is an integer number (1733375279528).

Almost surely, 2^{10400240022321} is an apocalyptic number.

It is an amenable number.

10400240022321 is a deficient number, since it is larger than the sum of its proper divisors (3466762213903).

10400240022321 is a wasteful number, since it uses less digits than its factorization.

10400240022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884951.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10400240022321 its reverse (12322004200401), we get a palindrome (22722244222722).

The spelling of 10400240022321 in words is "ten trillion, four hundred billion, two hundred forty million, twenty-two thousand, three hundred twenty-one".