40224440224000 has 144 divisors (see below), whose sum is σ = 100210213224576. Its totient is φ = 16088795904000.

The previous prime is 40224440223991. The next prime is 40224440224043. The reversal of 40224440224000 is 42204442204.

It is a self number, because there is not a number n which added to its sum of digits gives 40224440224000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 762565627 + ... + 762618373.

It is an arithmetic number, because the mean of its divisors is an integer number (695904258504).

Almost surely, 2^{40224440224000} is an apocalyptic number.

40224440224000 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 40224440224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50105106612288).

40224440224000 is an abundant number, since it is smaller than the sum of its proper divisors (59985773000576).

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

40224440224000 is an equidigital number, since it uses as much as digits as its factorization.

40224440224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76609 (or 76585 counting only the distinct ones).

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

Adding to 40224440224000 its reverse (42204442204), we get a palindrome (40266644666204).

The spelling of 40224440224000 in words is "forty trillion, two hundred twenty-four billion, four hundred forty million, two hundred twenty-four thousand".