22342434310440 has 192 divisors, whose sum is σ = 73633849146000. Its totient is φ = 5874797039616.

The previous prime is 22342434310429. The next prime is 22342434310451. The reversal of 22342434310440 is 4401343424322.

22342434310440 is a `hidden beast` number, since 2 + 234 + 243 + 43 + 104 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22342434310429) and next prime (22342434310451).

It can be written as a sum of positive squares in 8 ways, for example, as 2222419045284 + 20120015265156 = 1490778^2 + 4485534^2 .

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 = 22342434310395 and 22342434310404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5828514 + ... + 8868846.

Almost surely, 2^{22342434310440} is an apocalyptic number.

22342434310440 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 22342434310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36816924573000).

22342434310440 is an abundant number, since it is smaller than the sum of its proper divisors (51291414835560).

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

22342434310440 is a wasteful number, since it uses less digits than its factorization.

22342434310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040636 (or 3040629 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 22342434310440 its reverse (4401343424322), we get a palindrome (26743777734762).

The spelling of 22342434310440 in words is "twenty-two trillion, three hundred forty-two billion, four hundred thirty-four million, three hundred ten thousand, four hundred forty".