243414000441 has 48 divisors (see below), whose sum is σ = 360863942400. Its totient is φ = 158063203584.

The previous prime is 243414000437. The next prime is 243414000493. The reversal of 243414000441 is 144000414342.

243414000441 is a `hidden beast` number, since 243 + 414 + 0 + 0 + 0 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 243414000441 - 2² = 243414000437 is a prime.

It is a super-2 number, since 2×243414000441² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243414070441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29547175 + ... + 29555411.

It is an arithmetic number, because the mean of its divisors is an integer number (7517998800).

Almost surely, 2^243414000441 is an apocalyptic number.

It is an amenable number.

243414000441 is a deficient number, since it is larger than the sum of its proper divisors (117449941959).

243414000441 is a wasteful number, since it uses less digits than its factorization.

243414000441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8875 counting only the distinct ones).

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

Adding to 243414000441 its reverse (144000414342), we get a palindrome (387414414783).

The spelling of 243414000441 in words is "two hundred forty-three billion, four hundred fourteen million, four hundred forty-one", and thus it is an aban number.