4400226600 has 768 divisors, whose sum is σ = 18358824960. Its totient is φ = 844800000.

The previous prime is 4400226563. The next prime is 4400226631. The reversal of 4400226600 is 66220044.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43566550 + ... + 43566650.

It is an arithmetic number, because the mean of its divisors is an integer number (23904720).

Almost surely, 2^4400226600 is an apocalyptic number.

4400226600 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 4400226600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9179412480).

4400226600 is an abundant number, since it is smaller than the sum of its proper divisors (13958598360).

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

4400226600 is a wasteful number, since it uses less digits than its factorization.

4400226600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4400226600 is about 66334.2038468843. The cubic root of 4400226600 is about 1638.6706707487.

Adding to 4400226600 its reverse (66220044), we get a palindrome (4466446644).

The spelling of 4400226600 in words is "four billion, four hundred million, two hundred twenty-six thousand, six hundred".