42071228000 has 192 divisors, whose sum is σ = 108064756800. Its totient is φ = 16076390400.

The previous prime is 42071227969. The next prime is 42071228009. The reversal of 42071228000 is 82217024.

It is a super-3 number, since 3×42071228000³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42071228009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11250131 + ... + 11253869.

It is an arithmetic number, because the mean of its divisors is an integer number (562837275).

Almost surely, 2^42071228000 is an apocalyptic number.

42071228000 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 42071228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54032378400).

42071228000 is an abundant number, since it is smaller than the sum of its proper divisors (65993528800).

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

42071228000 is a wasteful number, since it uses less digits than its factorization.

42071228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The spelling of 42071228000 in words is "forty-two billion, seventy-one million, two hundred twenty-eight thousand".