42224024440400 has 120 divisors (see below), whose sum is σ = 110671665110688. Its totient is φ = 15353311680000.

The previous prime is 42224024440309. The next prime is 42224024440421. The reversal of 42224024440400 is 404442042224.

42224024440400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 79202735 + ... + 79734065.

Almost surely, 2^{42224024440400} is an apocalyptic number.

42224024440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42224024440400 is an abundant number, since it is smaller than the sum of its proper divisors (68447640670288).

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

42224024440400 is a wasteful number, since it uses less digits than its factorization.

42224024440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549421 (or 549410 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42224024440400 its reverse (404442042224), we get a palindrome (42628466482624).

The spelling of 42224024440400 in words is "forty-two trillion, two hundred twenty-four billion, twenty-four million, four hundred forty thousand, four hundred".