42106221000 has 384 divisors, whose sum is σ = 148609974240. Its totient is φ = 10742784000.

The previous prime is 42106220917. The next prime is 42106221019. The reversal of 42106221000 is 12260124.

42106221000 is a `hidden beast` number, since 42 + 1 + 0 + 622 + 1 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 14839625124 + 27266595876 = 121818^2 + 165126^2 .

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

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, 19555924 + ... + 19558076.

Almost surely, 2^42106221000 is an apocalyptic number.

42106221000 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 42106221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74304987120).

42106221000 is an abundant number, since it is smaller than the sum of its proper divisors (106503753240).

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

42106221000 is a wasteful number, since it uses less digits than its factorization.

42106221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42106221000 its reverse (12260124), we get a palindrome (42118481124).

The spelling of 42106221000 in words is "forty-two billion, one hundred six million, two hundred twenty-one thousand".