42444100 has 72 divisors (see below), whose sum is σ = 98431200. Its totient is φ = 15840000.

The previous prime is 42444097. The next prime is 42444133. The reversal of 42444100 is 144424.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168975 + ... + 169225.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 2^42444100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49215600).

42444100 is an abundant number, since it is smaller than the sum of its proper divisors (55987100).

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

42444100 is a wasteful number, since it uses less digits than its factorization.

42444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 42444100 is about 6514.9136602107. The cubic root of 42444100 is about 348.8235329246.

Adding to 42444100 its reverse (144424), we get a palindrome (42588524).

The spelling of 42444100 in words is "forty-two million, four hundred forty-four thousand, one hundred".