42105975748961 has 2 divisors, whose sum is σ = 42105975748962. Its totient is φ = 42105975748960.

The previous prime is 42105975748883. The next prime is 42105975748999. The reversal of 42105975748961 is 16984757950124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22949072289361 + 19156903459600 = 4790519^2 + 4376860^2 .

It is a cyclic number.

It is not a de Polignac number, because 42105975748961 - 2¹⁰ = 42105975747937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42105975748891 and 42105975748900.

It is not a weakly prime, because it can be changed into another prime (42105975708961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21052987874480 + 21052987874481.

It is an arithmetic number, because the mean of its divisors is an integer number (21052987874481).

Almost surely, 2^{42105975748961} is an apocalyptic number.

It is an amenable number.

42105975748961 is a deficient number, since it is larger than the sum of its proper divisors (1).

42105975748961 is an equidigital number, since it uses as much as digits as its factorization.

42105975748961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 152409600, while the sum is 68.

The spelling of 42105975748961 in words is "forty-two trillion, one hundred five billion, nine hundred seventy-five million, seven hundred forty-eight thousand, nine hundred sixty-one".