10400221329 has 8 divisors (see below), whose sum is σ = 13892596032. Its totient is φ = 6920663760.

The previous prime is 10400221267. The next prime is 10400221343. The reversal of 10400221329 is 92312200401.

10400221329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10400221329 - 2¹⁷ = 10400090257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10400221299 and 10400221308.

It is not an unprimeable number, because it can be changed into a prime (10400221229) 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 7 ways as a sum of consecutive naturals, for example, 3202389 + ... + 3205634.

It is an arithmetic number, because the mean of its divisors is an integer number (1736574504).

Almost surely, 2^10400221329 is an apocalyptic number.

It is an amenable number.

10400221329 is a deficient number, since it is larger than the sum of its proper divisors (3492374703).

10400221329 is an equidigital number, since it uses as much as digits as its factorization.

10400221329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408567.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 10400221329 in words is "ten billion, four hundred million, two hundred twenty-one thousand, three hundred twenty-nine".