42006573000 has 384 divisors, whose sum is σ = 169403270400. Its totient is φ = 9601200000.

The previous prime is 42006572999. The next prime is 42006573017. The reversal of 42006573000 is 37560024.

It is a happy number.

42006573000 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 657 + 3 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1307125 + ... + 1338875.

It is an arithmetic number, because the mean of its divisors is an integer number (441154350).

Almost surely, 2^42006573000 is an apocalyptic number.

42006573000 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 42006573000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84701635200).

42006573000 is an abundant number, since it is smaller than the sum of its proper divisors (127396697400).

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

42006573000 is a wasteful number, since it uses less digits than its factorization.

42006573000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31795 (or 31768 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 42006573000 in words is "forty-two billion, six million, five hundred seventy-three thousand".