22233141241440 has 192 divisors, whose sum is σ = 70146451339776. Its totient is φ = 5919355645952.

The previous prime is 22233141241361. The next prime is 22233141241447. The reversal of 22233141241440 is 4414214133222.

It is a super-3 number, since 3×22233141241440³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22233141241447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650900927 + ... + 2650909313.

It is an arithmetic number, because the mean of its divisors is an integer number (365346100728).

Almost surely, 2^{22233141241440} is an apocalyptic number.

22233141241440 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 22233141241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35073225669888).

22233141241440 is an abundant number, since it is smaller than the sum of its proper divisors (47913310098336).

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

22233141241440 is a wasteful number, since it uses less digits than its factorization.

22233141241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16581 (or 16573 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 22233141241440 its reverse (4414214133222), we get a palindrome (26647355374662).

The spelling of 22233141241440 in words is "twenty-two trillion, two hundred thirty-three billion, one hundred forty-one million, two hundred forty-one thousand, four hundred forty".