42042000000 has 1344 divisors, whose sum is σ = 190769433120. Its totient is φ = 8064000000.

The previous prime is 42041999981. The next prime is 42042000029. The reversal of 42042000000 is 24024.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42042000000.

It is an unprimeable number.

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 in 167 ways as a sum of consecutive naturals, for example, 3233999994 + ... + 3234000006.

Almost surely, 2^42042000000 is an apocalyptic number.

42042000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42042000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95384716560).

42042000000 is an abundant number, since it is smaller than the sum of its proper divisors (148727433120).

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

42042000000 is an equidigital number, since it uses as much as digits as its factorization.

42042000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 42042000000 its reverse (24024), we get a palindrome (42042024024).

The spelling of 42042000000 in words is "forty-two billion, forty-two million", and thus it is an aban number, an eban number, and an uban number.