22340435040 has 960 divisors, whose sum is σ = 100181587968. Its totient is φ = 4553625600.

The previous prime is 22340435027. The next prime is 22340435059. The reversal of 22340435040 is 4053404322.

22340435040 is a `hidden beast` number, since 223 + 4 + 0 + 435 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22340434995 and 22340435013.

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 159 ways as a sum of consecutive naturals, for example, 60872937 + ... + 60873303.

Almost surely, 2^22340435040 is an apocalyptic number.

22340435040 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 22340435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50090793984).

22340435040 is an abundant number, since it is smaller than the sum of its proper divisors (77841152928).

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

22340435040 is a wasteful number, since it uses less digits than its factorization.

22340435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 22340435040 its reverse (4053404322), we get a palindrome (26393839362).

The spelling of 22340435040 in words is "twenty-two billion, three hundred forty million, four hundred thirty-five thousand, forty".