22132340310340 has 96 divisors (see below), whose sum is σ = 50709051509760. Its totient is φ = 8064944409600.

The previous prime is 22132340310319. The next prime is 22132340310361. The reversal of 22132340310340 is 4301304323122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22132340310319) and next prime (22132340310361).

It is a super-2 number, since 2×22132340310340² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22132340310299 and 22132340310308.

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 31 ways as a sum of consecutive naturals, for example, 46615545 + ... + 47087935.

It is an arithmetic number, because the mean of its divisors is an integer number (528219286560).

Almost surely, 2^{22132340310340} is an apocalyptic number.

22132340310340 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 22132340310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25354525754880).

22132340310340 is an abundant number, since it is smaller than the sum of its proper divisors (28576711199420).

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

22132340310340 is a wasteful number, since it uses less digits than its factorization.

22132340310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474773 (or 474771 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 22132340310340 its reverse (4301304323122), we get a palindrome (26433644633462).

The spelling of 22132340310340 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred forty million, three hundred ten thousand, three hundred forty".