22011413340 has 288 divisors, whose sum is σ = 76665867264. Its totient is φ = 4618690560.

The previous prime is 22011413329. The next prime is 22011413371. The reversal of 22011413340 is 4331411022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4974369 + ... + 4978791.

It is an arithmetic number, because the mean of its divisors is an integer number (266200928).

Almost surely, 2^22011413340 is an apocalyptic number.

22011413340 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 22011413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38332933632).

22011413340 is an abundant number, since it is smaller than the sum of its proper divisors (54654453924).

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

22011413340 is a wasteful number, since it uses less digits than its factorization.

22011413340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22011413340 its reverse (4331411022), we get a palindrome (26342824362).

The spelling of 22011413340 in words is "twenty-two billion, eleven million, four hundred thirteen thousand, three hundred forty".