42972406049 has 2 divisors, whose sum is σ = 42972406050. Its totient is φ = 42972406048.

The previous prime is 42972406033. The next prime is 42972406073. The reversal of 42972406049 is 94060427924.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32483573824 + 10488832225 = 180232^2 + 102415^2 .

It is a cyclic number.

It is not a de Polignac number, because 42972406049 - 2⁴ = 42972406033 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42972405994 and 42972406012.

It is not a weakly prime, because it can be changed into another prime (42972406349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21486203024 + 21486203025.

It is an arithmetic number, because the mean of its divisors is an integer number (21486203025).

Almost surely, 2^42972406049 is an apocalyptic number.

It is an amenable number.

42972406049 is a deficient number, since it is larger than the sum of its proper divisors (1).

42972406049 is an equidigital number, since it uses as much as digits as its factorization.

42972406049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 42972406049 in words is "forty-two billion, nine hundred seventy-two million, four hundred six thousand, forty-nine".