10401221441 has 12 divisors (see below), whose sum is σ = 11567269692. Its totient is φ = 9341631936.

The previous prime is 10401221431. The next prime is 10401221497. The reversal of 10401221441 is 14412210401.

10401221441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 104857600 + 10296363841 = 10240^2 + 101471^2 .

It is not a de Polignac number, because 10401221441 - 2²⁶ = 10334112577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10401221431) 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 11 ways as a sum of consecutive naturals, for example, 825446 + ... + 837951.

It is an arithmetic number, because the mean of its divisors is an integer number (963939141).

Almost surely, 2^10401221441 is an apocalyptic number.

It is an amenable number.

10401221441 is a deficient number, since it is larger than the sum of its proper divisors (1166048251).

10401221441 is a wasteful number, since it uses less digits than its factorization.

10401221441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663460 (or 1663447 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10401221441 its reverse (14412210401), we get a palindrome (24813431842).

The spelling of 10401221441 in words is "ten billion, four hundred one million, two hundred twenty-one thousand, four hundred forty-one".