42201000 has 160 divisors (see below), whose sum is σ = 147799080. Its totient is φ = 11232000.

The previous prime is 42200999. The next prime is 42201007. The reversal of 42201000 is 10224.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 33802596 = 2898^2 + 5814^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (42201007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80740 + ... + 81260.

Almost surely, 2^42201000 is an apocalyptic number.

42201000 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 42201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73899540).

42201000 is an abundant number, since it is smaller than the sum of its proper divisors (105598080).

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

42201000 is a wasteful number, since it uses less digits than its factorization.

42201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42201000 is about 6496.2296757427. The cubic root of 42201000 is about 348.1562912715.

Adding to 42201000 its reverse (10224), we get a palindrome (42211224).

The spelling of 42201000 in words is "forty-two million, two hundred one thousand".