42001020 has 72 divisors (see below), whose sum is σ = 134119440. Its totient is φ = 10609920.

The previous prime is 42000997. The next prime is 42001021. The reversal of 42001020 is 2010024.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 42000993 and 42001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2721 + ... + 9560.

It is an arithmetic number, because the mean of its divisors is an integer number (1862770).

Almost surely, 2^42001020 is an apocalyptic number.

It is an amenable number.

42001020 is an abundant number, since it is smaller than the sum of its proper divisors (92118420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42001020 is a wasteful number, since it uses less digits than its factorization.

42001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12315 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42001020 is about 6480.8193926386. The cubic root of 42001020 is about 347.6054783922.

Adding to 42001020 its reverse (2010024), we get a palindrome (44011044).

The spelling of 42001020 in words is "forty-two million, one thousand, twenty".