22081324621440 has 1024 divisors, whose sum is σ = 88979894599680. Its totient is φ = 4541526835200.

The previous prime is 22081324621429. The next prime is 22081324621453. The reversal of 22081324621440 is 4412642318022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 587860260 + ... + 587897820.

It is an arithmetic number, because the mean of its divisors is an integer number (86894428320).

Almost surely, 2^{22081324621440} is an apocalyptic number.

22081324621440 is a gapful number since it is divisible by the number (20) 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 22081324621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44489947299840).

22081324621440 is an abundant number, since it is smaller than the sum of its proper divisors (66898569978240).

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

22081324621440 is a wasteful number, since it uses less digits than its factorization.

22081324621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37721 (or 37709 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

Adding to 22081324621440 its reverse (4412642318022), we get a palindrome (26493966939462).

The spelling of 22081324621440 in words is "twenty-two trillion, eighty-one billion, three hundred twenty-four million, six hundred twenty-one thousand, four hundred forty".