42211000 has 128 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 14592000.

The previous prime is 42210997. The next prime is 42211007. The reversal of 42211000 is 11224.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42211007) 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, 220905 + ... + 221095.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^42211000 is an apocalyptic number.

42211000 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 42211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

42211000 is an abundant number, since it is smaller than the sum of its proper divisors (71007560).

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

42211000 is a wasteful number, since it uses less digits than its factorization.

42211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 42211000 is about 6496.9993073726. Note that the first 3 decimals coincide. The cubic root of 42211000 is about 348.1837889449.

Adding to 42211000 its reverse (11224), we get a palindrome (42222224).

The spelling of 42211000 in words is "forty-two million, two hundred eleven thousand".