24442100144001 has 6 divisors (see below), whose sum is σ = 35305255763570. Its totient is φ = 16294733429328.

The previous prime is 24442100143991. The next prime is 24442100144017. The reversal of 24442100144001 is 10044100124442.

It is a happy number.

24442100144001 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 210 + 0 + 1 + 440 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23559364732401 + 882735411600 = 4853799^2 + 939540^2 .

It is not a de Polignac number, because 24442100144001 - 2¹⁹ = 24442099619713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24442100144051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1357894452436 + ... + 1357894452453.

Almost surely, 2^{24442100144001} is an apocalyptic number.

It is an amenable number.

24442100144001 is a deficient number, since it is larger than the sum of its proper divisors (10863155619569).

24442100144001 is a wasteful number, since it uses less digits than its factorization.

24442100144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715788904895 (or 2715788904892 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 24442100144001 its reverse (10044100124442), we get a palindrome (34486200268443).

The spelling of 24442100144001 in words is "twenty-four trillion, four hundred forty-two billion, one hundred million, one hundred forty-four thousand, one".