42114102241 has 8 divisors (see below), whose sum is σ = 42367910760. Its totient is φ = 41860413312.

The previous prime is 42114102221. The next prime is 42114102257. The reversal of 42114102241 is 14220141124.

42114102241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7568304016 + 34545798225 = 86996^2 + 185865^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42114102241 - 2¹⁹ = 42113577953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42114102211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735151 + ... + 790363.

It is an arithmetic number, because the mean of its divisors is an integer number (5295988845).

Almost surely, 2^42114102241 is an apocalyptic number.

It is an amenable number.

42114102241 is a deficient number, since it is larger than the sum of its proper divisors (253808519).

42114102241 is a wasteful number, since it uses less digits than its factorization.

42114102241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59795.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 42114102241 its reverse (14220141124), we get a palindrome (56334243365).

The spelling of 42114102241 in words is "forty-two billion, one hundred fourteen million, one hundred two thousand, two hundred forty-one".