42042042000 has 240 divisors, whose sum is σ = 167816318592. Its totient is φ = 9609580800.

The previous prime is 42042041939. The next prime is 42042042047. The reversal of 42042042000 is 24024024.

42042042000 is a `hidden beast` number, since 42 + 0 + 420 + 4 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40834 + ... + 292833.

Almost surely, 2^42042042000 is an apocalyptic number.

42042042000 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 42042042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83908159296).

42042042000 is an abundant number, since it is smaller than the sum of its proper divisors (125774276592).

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

42042042000 is a wasteful number, since it uses less digits than its factorization.

42042042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333703 (or 333684 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42042042000 its reverse (24024024), we get a palindrome (42066066024).

The spelling of 42042042000 in words is "forty-two billion, forty-two million, forty-two thousand", and thus it is an eban number.