42642336001 has 2 divisors, whose sum is σ = 42642336002. Its totient is φ = 42642336000.

The previous prime is 42642335977. The next prime is 42642336017. The reversal of 42642336001 is 10063324624.

42642336001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39820601601 + 2821734400 = 199551^2 + 53120^2 .

It is a cyclic number.

It is not a de Polignac number, because 42642336001 - 2¹³ = 42642327809 is a prime.

It is not a weakly prime, because it can be changed into another prime (42642336091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21321168000 + 21321168001.

It is an arithmetic number, because the mean of its divisors is an integer number (21321168001).

Almost surely, 2^42642336001 is an apocalyptic number.

It is an amenable number.

42642336001 is a deficient number, since it is larger than the sum of its proper divisors (1).

42642336001 is an equidigital number, since it uses as much as digits as its factorization.

42642336001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 42642336001 in words is "forty-two billion, six hundred forty-two million, three hundred thirty-six thousand, one".