22835405040 has 640 divisors, whose sum is σ = 89994240000. Its totient is φ = 4669636608.

The previous prime is 22835405027. The next prime is 22835405051. The reversal of 22835405040 is 4050453822.

It is a junction number, because it is equal to n+sod(n) for n = 22835404992 and 22835405010.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 65430786 + ... + 65431134.

It is an arithmetic number, because the mean of its divisors is an integer number (140616000).

Almost surely, 2^22835405040 is an apocalyptic number.

22835405040 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 22835405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120000).

22835405040 is an abundant number, since it is smaller than the sum of its proper divisors (67158834960).

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

22835405040 is a wasteful number, since it uses less digits than its factorization.

22835405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 22835405040 its reverse (4050453822), we get a palindrome (26885858862).

The spelling of 22835405040 in words is "twenty-two billion, eight hundred thirty-five million, four hundred five thousand, forty".