22143332400 has 240 divisors, whose sum is σ = 81240633600. Its totient is φ = 5050414080.

The previous prime is 22143332383. The next prime is 22143332441. The reversal of 22143332400 is 423334122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4273011 + ... + 4278189.

It is an arithmetic number, because the mean of its divisors is an integer number (338502640).

Almost surely, 2^22143332400 is an apocalyptic number.

22143332400 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 22143332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40620316800).

22143332400 is an abundant number, since it is smaller than the sum of its proper divisors (59097301200).

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

22143332400 is a wasteful number, since it uses less digits than its factorization.

22143332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22143332400 its reverse (423334122), we get a palindrome (22566666522).

The spelling of 22143332400 in words is "twenty-two billion, one hundred forty-three million, three hundred thirty-two thousand, four hundred".