22332434040 has 288 divisors, whose sum is σ = 86026898880. Its totient is φ = 5008034304.

The previous prime is 22332434023. The next prime is 22332434051. The reversal of 22332434040 is 4043423322.

22332434040 is a `hidden beast` number, since 2 + 233 + 24 + 3 + 404 + 0 = 666.

It is a super-2 number, since 2×22332434040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22332433995 and 22332434013.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 922977 + ... + 946863.

It is an arithmetic number, because the mean of its divisors is an integer number (298704510).

Almost surely, 2^22332434040 is an apocalyptic number.

22332434040 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 22332434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43013449440).

22332434040 is an abundant number, since it is smaller than the sum of its proper divisors (63694464840).

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

22332434040 is a wasteful number, since it uses less digits than its factorization.

22332434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23971 (or 23957 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 22332434040 its reverse (4043423322), we get a palindrome (26375857362).

The spelling of 22332434040 in words is "twenty-two billion, three hundred thirty-two million, four hundred thirty-four thousand, forty".