22411405600 has 144 divisors (see below), whose sum is σ = 55757056320. Its totient is φ = 8794598400.

The previous prime is 22411405579. The next prime is 22411405603. The reversal of 22411405600 is 650411422.

It is a happy number.

It is a super-2 number, since 2×22411405600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22411405603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13006339 + ... + 13008061.

It is an arithmetic number, because the mean of its divisors is an integer number (387201780).

Almost surely, 2^22411405600 is an apocalyptic number.

22411405600 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 22411405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27878528160).

22411405600 is an abundant number, since it is smaller than the sum of its proper divisors (33345650720).

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

22411405600 is a wasteful number, since it uses less digits than its factorization.

22411405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 22411405600 in words is "twenty-two billion, four hundred eleven million, four hundred five thousand, six hundred".