42167124401 has 2 divisors, whose sum is σ = 42167124402. Its totient is φ = 42167124400.

The previous prime is 42167124379. The next prime is 42167124463. The reversal of 42167124401 is 10442176124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39661120801 + 2506003600 = 199151^2 + 50060^2 .

It is a cyclic number.

It is not a de Polignac number, because 42167124401 - 2²² = 42162930097 is a prime.

It is not a weakly prime, because it can be changed into another prime (42167114401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21083562200 + 21083562201.

It is an arithmetic number, because the mean of its divisors is an integer number (21083562201).

Almost surely, 2^42167124401 is an apocalyptic number.

It is an amenable number.

42167124401 is a deficient number, since it is larger than the sum of its proper divisors (1).

42167124401 is an equidigital number, since it uses as much as digits as its factorization.

42167124401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 42167124401 in words is "forty-two billion, one hundred sixty-seven million, one hundred twenty-four thousand, four hundred one".