42002005001 has 16 divisors (see below), whose sum is σ = 46089725760. Its totient is φ = 37959683520.

The previous prime is 42002004991. The next prime is 42002005063. The reversal of 42002005001 is 10050020024.

It is not a de Polignac number, because 42002005001 - 2¹⁰ = 42002003977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42002001001) 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 in 15 ways as a sum of consecutive naturals, for example, 1708271 + ... + 1732683.

It is an arithmetic number, because the mean of its divisors is an integer number (2880607860).

Almost surely, 2^42002005001 is an apocalyptic number.

It is an amenable number.

42002005001 is a deficient number, since it is larger than the sum of its proper divisors (4087720759).

42002005001 is a wasteful number, since it uses less digits than its factorization.

42002005001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25336.

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 42002005001 its reverse (10050020024), we get a palindrome (52052025025).

The spelling of 42002005001 in words is "forty-two billion, two million, five thousand, one".