22141111241040 has 640 divisors, whose sum is σ = 82201962737664. Its totient is φ = 4873549824000.

The previous prime is 22141111240991. The next prime is 22141111241059. The reversal of 22141111241040 is 4014211114122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22141111241040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91992055 + ... + 92232425.

Almost surely, 2^{22141111241040} is an apocalyptic number.

22141111241040 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 22141111241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41100981368832).

22141111241040 is an abundant number, since it is smaller than the sum of its proper divisors (60060851496624).

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

22141111241040 is a wasteful number, since it uses less digits than its factorization.

22141111241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240499 (or 240493 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 22141111241040 its reverse (4014211114122), we get a palindrome (26155322355162).

The spelling of 22141111241040 in words is "twenty-two trillion, one hundred forty-one billion, one hundred eleven million, two hundred forty-one thousand, forty".