42006006000 has 320 divisors, whose sum is σ = 171972802560. Its totient is φ = 9601286400.

The previous prime is 42006005969. The next prime is 42006006011. The reversal of 42006006000 is 60060024.

42006006000 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 60 + 0 + 600 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322437 + ... + 433563.

It is an arithmetic number, because the mean of its divisors is an integer number (537415008).

Almost surely, 2^42006006000 is an apocalyptic number.

42006006000 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 42006006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85986401280).

42006006000 is an abundant number, since it is smaller than the sum of its proper divisors (129966796560).

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

42006006000 is a wasteful number, since it uses less digits than its factorization.

42006006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111166 (or 111144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42006006000 its reverse (60060024), we get a palindrome (42066066024).

The spelling of 42006006000 in words is "forty-two billion, six million, six thousand", and thus it is an eban number.