42661442241 has 48 divisors (see below), whose sum is σ = 67614243840. Its totient is φ = 25705784160.

The previous prime is 42661442237. The next prime is 42661442321. The reversal of 42661442241 is 14224416624.

42661442241 is a `hidden beast` number, since 426 + 6 + 1 + 4 + 4 + 224 + 1 = 666.

It is not a de Polignac number, because 42661442241 - 2² = 42661442237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42661442196 and 42661442205.

It is not an unprimeable number, because it can be changed into a prime (42661442741) 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, 16115580 + ... + 16118226.

It is an arithmetic number, because the mean of its divisors is an integer number (1408630080).

Almost surely, 2^42661442241 is an apocalyptic number.

It is an amenable number.

42661442241 is a deficient number, since it is larger than the sum of its proper divisors (24952801599).

42661442241 is a wasteful number, since it uses less digits than its factorization.

42661442241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3543 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 42661442241 its reverse (14224416624), we get a palindrome (56885858865).

The spelling of 42661442241 in words is "forty-two billion, six hundred sixty-one million, four hundred forty-two thousand, two hundred forty-one".