42224031244000 has 288 divisors, whose sum is σ = 108399031453440. Its totient is φ = 16147534464000.

The previous prime is 42224031243997. The next prime is 42224031244007. The reversal of 42224031244000 is 44213042224.

It is a self number, because there is not a number n which added to its sum of digits gives 42224031244000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224031244007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854211286 + ... + 854260714.

It is an arithmetic number, because the mean of its divisors is an integer number (376385525880).

Almost surely, 2^{42224031244000} is an apocalyptic number.

42224031244000 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 42224031244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54199515726720).

42224031244000 is an abundant number, since it is smaller than the sum of its proper divisors (66175000209440).

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

42224031244000 is an equidigital number, since it uses as much as digits as its factorization.

42224031244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49651 (or 49550 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42224031244000 its reverse (44213042224), we get a palindrome (42268244286224).

The spelling of 42224031244000 in words is "forty-two trillion, two hundred twenty-four billion, thirty-one million, two hundred forty-four thousand".