42220224240400 has 60 divisors (see below), whose sum is σ = 101436062103972. Its totient is φ = 16887761144320.

The previous prime is 42220224240391. The next prime is 42220224240427. The reversal of 42220224240400 is 404242202224.

42220224240400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 424723317264 + 41795500923136 = 651708^2 + 6464944^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20102454 + ... + 22103146.

Almost surely, 2^{42220224240400} is an apocalyptic number.

42220224240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42220224240400 is an abundant number, since it is smaller than the sum of its proper divisors (59215837863572).

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

42220224240400 is a wasteful number, since it uses less digits than its factorization.

42220224240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053468 (or 2053457 counting only the distinct ones).

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

Adding to 42220224240400 its reverse (404242202224), we get a palindrome (42624466442624).

The spelling of 42220224240400 in words is "forty-two trillion, two hundred twenty billion, two hundred twenty-four million, two hundred forty thousand, four hundred".