4221600000 has 216 divisors, whose sum is σ = 14051600640. Its totient is φ = 1125120000.

The previous prime is 4221599999. The next prime is 4221600007. The reversal of 4221600000 is 61224.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399121 + ... + 2400879.

Almost surely, 2^4221600000 is an apocalyptic number.

4221600000 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 4221600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025800320).

4221600000 is an abundant number, since it is smaller than the sum of its proper divisors (9830000640).

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

4221600000 is an frugal number, since it uses more digits than its factorization.

4221600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4221600000 is about 64973.8408900074. The cubic root of 4221600000 is about 1616.1897956997.

Adding to 4221600000 its reverse (61224), we get a palindrome (4221661224).

The spelling of 4221600000 in words is "four billion, two hundred twenty-one million, six hundred thousand".