4221314400 has 144 divisors (see below), whose sum is σ = 14033101824. Its totient is φ = 1101703680.

The previous prime is 4221314389. The next prime is 4221314437. The reversal of 4221314400 is 44131224.

4221314400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94089 + ... + 131511.

It is an arithmetic number, because the mean of its divisors is an integer number (97452096).

Almost surely, 2^4221314400 is an apocalyptic number.

4221314400 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 4221314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016550912).

4221314400 is an abundant number, since it is smaller than the sum of its proper divisors (9811787424).

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

4221314400 is a wasteful number, since it uses less digits than its factorization.

4221314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37493 (or 37480 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4221314400 is about 64971.6430452548. The cubic root of 4221314400 is about 1616.1533486800.

Adding to 4221314400 its reverse (44131224), we get a palindrome (4265445624).

The spelling of 4221314400 in words is "four billion, two hundred twenty-one million, three hundred fourteen thousand, four hundred".