242114210100441 has 32 divisors (see below), whose sum is σ = 409930079662080. Its totient is φ = 138350552514768.

The previous prime is 242114210100437. The next prime is 242114210100473. The reversal of 242114210100441 is 144001012411242.

242114210100441 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 1 + 4 + 210 + 1 + 0 + 0 + 441 = 666.

It is not a de Polignac number, because 242114210100441 - 2² = 242114210100437 is a prime.

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 (242114210100941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65959570 + ... + 69533396.

It is an arithmetic number, because the mean of its divisors is an integer number (12810314989440).

Almost surely, 2^{242114210100441} is an apocalyptic number.

242114210100441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242114210100441 is a deficient number, since it is larger than the sum of its proper divisors (167815869561639).

242114210100441 is a wasteful number, since it uses less digits than its factorization.

242114210100441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932290 (or 3932284 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 242114210100441 its reverse (144001012411242), we get a palindrome (386115222511683).

The spelling of 242114210100441 in words is "two hundred forty-two trillion, one hundred fourteen billion, two hundred ten million, one hundred thousand, four hundred forty-one".