4221353600 has 96 divisors (see below), whose sum is σ = 10505270700. Its totient is φ = 1676042240.

The previous prime is 4221353579. The next prime is 4221353603. The reversal of 4221353600 is 63531224.

It can be written as a sum of positive squares in 6 ways, for example, as 3099371584 + 1121982016 = 55672^2 + 33496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4221353600.

It is not an unprimeable number, because it can be changed into a prime (4221353603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433586 + ... + 443214.

Almost surely, 2^4221353600 is an apocalyptic number.

4221353600 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 4221353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252635350).

4221353600 is an abundant number, since it is smaller than the sum of its proper divisors (6283917100).

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

4221353600 is a wasteful number, since it uses less digits than its factorization.

4221353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9790 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 4221353600 is about 64971.9447146228. The cubic root of 4221353600 is about 1616.1583513095.

Adding to 4221353600 its reverse (63531224), we get a palindrome (4284884824).

The spelling of 4221353600 in words is "four billion, two hundred twenty-one million, three hundred fifty-three thousand, six hundred".