6221414400 has 360 divisors, whose sum is σ = 21160666464. Its totient is φ = 1612185600.

The previous prime is 6221414389. The next prime is 6221414413. The reversal of 6221414400 is 44141226.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 74956759 + ... + 74956841.

Almost surely, 2^6221414400 is an apocalyptic number.

6221414400 is a gapful number since it is divisible by the number (60) 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 6221414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10580333232).

6221414400 is an abundant number, since it is smaller than the sum of its proper divisors (14939252064).

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

6221414400 is an equidigital number, since it uses as much as digits as its factorization.

6221414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6221414400 is about 78875.9431005424. The cubic root of 6221414400 is about 1839.2031836571.

Adding to 6221414400 its reverse (44141226), we get a palindrome (6265555626).

The spelling of 6221414400 in words is "six billion, two hundred twenty-one million, four hundred fourteen thousand, four hundred".