22332142333440 has 320 divisors, whose sum is σ = 79334745019200. Its totient is φ = 5954553741312.

The previous prime is 22332142333439. The next prime is 22332142333441. The reversal of 22332142333440 is 4433324123322.

22332142333440 is a `hidden beast` number, since 22 + 33 + 214 + 23 + 334 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22332142333439) and next prime (22332142333441).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22332142333395 and 22332142333404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22332142333441) 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, 963037366 + ... + 963060554.

It is an arithmetic number, because the mean of its divisors is an integer number (247921078185).

Almost surely, 2^{22332142333440} is an apocalyptic number.

22332142333440 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 22332142333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39667372509600).

22332142333440 is an abundant number, since it is smaller than the sum of its proper divisors (57002602685760).

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

22332142333440 is a wasteful number, since it uses less digits than its factorization.

22332142333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37154 (or 37132 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 22332142333440 its reverse (4433324123322), we get a palindrome (26765466456762).

It can be divided in two parts, 2233214 and 2333440, that added together give a palindrome (4566654).

The spelling of 22332142333440 in words is "twenty-two trillion, three hundred thirty-two billion, one hundred forty-two million, three hundred thirty-three thousand, four hundred forty".