224434210401 has 40 divisors (see below), whose sum is σ = 336924449664. Its totient is φ = 148884156000.

The previous prime is 224434210393. The next prime is 224434210417. The reversal of 224434210401 is 104012434422.

224434210401 is a `hidden beast` number, since 2 + 2 + 4 + 43 + 4 + 210 + 401 = 666.

It is not a de Polignac number, because 224434210401 - 2³ = 224434210393 is a prime.

It is a super-3 number, since 3×224434210401³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (224434210421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17208655 + ... + 17221691.

Almost surely, 2^224434210401 is an apocalyptic number.

It is an amenable number.

224434210401 is a deficient number, since it is larger than the sum of its proper divisors (112490239263).

224434210401 is a wasteful number, since it uses less digits than its factorization.

224434210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14083 (or 14074 counting only the distinct ones).

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

Adding to 224434210401 its reverse (104012434422), we get a palindrome (328446644823).

The spelling of 224434210401 in words is "two hundred twenty-four billion, four hundred thirty-four million, two hundred ten thousand, four hundred one".