42442233400000 has 336 divisors, whose sum is σ = 121047191983872. Its totient is φ = 14462271360000.

The previous prime is 42442233399977. The next prime is 42442233400009. The reversal of 42442233400000 is 433224424.

It is a happy number.

42442233400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42442233400009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 228107007 + ... + 228292993.

It is an arithmetic number, because the mean of its divisors is an integer number (360259499952).

Almost surely, 2^{42442233400000} is an apocalyptic number.

42442233400000 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 42442233400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60523595991936).

42442233400000 is an abundant number, since it is smaller than the sum of its proper divisors (78604958583872).

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

42442233400000 is an equidigital number, since it uses as much as digits as its factorization.

42442233400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186194 (or 186164 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 42442233400000 its reverse (433224424), we get a palindrome (42442666624424).

The spelling of 42442233400000 in words is "forty-two trillion, four hundred forty-two billion, two hundred thirty-three million, four hundred thousand".