22302332202040 has 256 divisors, whose sum is σ = 57283583616000. Its totient is φ = 7735446343680.

The previous prime is 22302332202013. The next prime is 22302332202047. The reversal of 22302332202040 is 4020223320322.

It is a junction number, because it is equal to n+sod(n) for n = 22302332201996 and 22302332202014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22302332202047) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9069674331 + ... + 9069676789.

It is an arithmetic number, because the mean of its divisors is an integer number (223763998500).

Almost surely, 2^{22302332202040} is an apocalyptic number.

22302332202040 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 22302332202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641791808000).

22302332202040 is an abundant number, since it is smaller than the sum of its proper divisors (34981251413960).

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

22302332202040 is a wasteful number, since it uses less digits than its factorization.

22302332202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 22302332202040 its reverse (4020223320322), we get a palindrome (26322555522362).

The spelling of 22302332202040 in words is "twenty-two trillion, three hundred two billion, three hundred thirty-two million, two hundred two thousand, forty".