224620420401 has 48 divisors (see below), whose sum is σ = 367198767936. Its totient is φ = 131364229248.

The previous prime is 224620420363. The next prime is 224620420417. The reversal of 224620420401 is 104024026422.

224620420401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 224620420401 - 2⁶ = 224620420337 is a prime.

It is a super-2 number, since 2×224620420401² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224620420421) 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 47 ways as a sum of consecutive naturals, for example, 417195 + ... + 789488.

It is an arithmetic number, because the mean of its divisors is an integer number (7649974332).

Almost surely, 2^224620420401 is an apocalyptic number.

It is an amenable number.

224620420401 is a deficient number, since it is larger than the sum of its proper divisors (142578347535).

224620420401 is a wasteful number, since it uses less digits than its factorization.

224620420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206782 (or 1206779 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 224620420401 its reverse (104024026422), we get a palindrome (328644446823).

The spelling of 224620420401 in words is "two hundred twenty-four billion, six hundred twenty million, four hundred twenty thousand, four hundred one".