42444240400 has 45 divisors (see below), whose sum is σ = 101982187783. Its totient is φ = 16976048000.

The previous prime is 42444240383. The next prime is 42444240401. The reversal of 42444240400 is 404244424.

The square root of 42444240400 is 206020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7901787664 + 34542452736 = 88892^2 + 185856^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42444240401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4115250 + ... + 4125550.

Almost surely, 2^42444240400 is an apocalyptic number.

42444240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42444240400 is the 206020-th square number.

It is an amenable number.

42444240400 is an abundant number, since it is smaller than the sum of its proper divisors (59537947383).

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

42444240400 is an frugal number, since it uses more digits than its factorization.

42444240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20620 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Multiplying 42444240400 by its product of nonzero digits (16384), we get a square (695406434713600 = 26370560²).

Adding to 42444240400 its reverse (404244424), we get a palindrome (42848484824).

The spelling of 42444240400 in words is "forty-two billion, four hundred forty-four million, two hundred forty thousand, four hundred".