4352223224400 has 240 divisors, whose sum is σ = 14025795000000. Its totient is φ = 1153606164480.

The previous prime is 4352223224387. The next prime is 4352223224407. The reversal of 4352223224400 is 44223222534.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4352223224407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 139259976 + ... + 139291224.

It is an arithmetic number, because the mean of its divisors is an integer number (58440812500).

Almost surely, 2^{4352223224400} is an apocalyptic number.

4352223224400 is a gapful number since it is divisible by the number (40) 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 4352223224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012897500000).

4352223224400 is an abundant number, since it is smaller than the sum of its proper divisors (9673571775600).

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

4352223224400 is a wasteful number, since it uses less digits than its factorization.

4352223224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31966 (or 31955 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 4352223224400 its reverse (44223222534), we get a palindrome (4396446446934).

The spelling of 4352223224400 in words is "four trillion, three hundred fifty-two billion, two hundred twenty-three million, two hundred twenty-four thousand, four hundred".