4427622400 has 72 divisors (see below), whose sum is σ = 10977949710. Its totient is φ = 1771028480.

The previous prime is 4427622359. The next prime is 4427622413. The reversal of 4427622400 is 42267244.

It can be written as a sum of positive squares in 3 ways, for example, as 1874543616 + 2553078784 = 43296^2 + 50528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7962 + ... + 94438.

Almost surely, 2^4427622400 is an apocalyptic number.

4427622400 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 4427622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488974855).

4427622400 is an abundant number, since it is smaller than the sum of its proper divisors (6550327310).

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

4427622400 is an equidigital number, since it uses as much as digits as its factorization.

4427622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86509 (or 86484 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 4427622400 is about 66540.3817241831. The cubic root of 4427622400 is about 1642.0644238203.

Adding to 4427622400 its reverse (42267244), we get a palindrome (4469889644).

The spelling of 4427622400 in words is "four billion, four hundred twenty-seven million, six hundred twenty-two thousand, four hundred".