400421244224001 has 256 divisors, whose sum is σ = 787471663104000. Its totient is φ = 173973828188160.

The previous prime is 400421244223961. The next prime is 400421244224051. The reversal of 400421244224001 is 100422442124004.

It is not a de Polignac number, because 400421244224001 - 2¹⁰ = 400421244222977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400421244224001.

It is not an unprimeable number, because it can be changed into a prime (400421244224051) 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 255 ways as a sum of consecutive naturals, for example, 15116497165 + ... + 15116523653.

It is an arithmetic number, because the mean of its divisors is an integer number (3076061184000).

Almost surely, 2^{400421244224001} is an apocalyptic number.

It is an amenable number.

400421244224001 is a deficient number, since it is larger than the sum of its proper divisors (387050418879999).

400421244224001 is a wasteful number, since it uses less digits than its factorization.

400421244224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38084.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 400421244224001 its reverse (100422442124004), we get a palindrome (500843686348005).

The spelling of 400421244224001 in words is "four hundred trillion, four hundred twenty-one billion, two hundred forty-four million, two hundred twenty-four thousand, one".