4400200000 has 252 divisors, whose sum is σ = 12723990300. Its totient is φ = 1505280000.

The previous prime is 4400199977. The next prime is 4400200087. The reversal of 4400200000 is 20044.

4400200000 = 85³ + 86³ + ... + 364³.

It can be written as a sum of positive squares in 6 ways, for example, as 3437711424 + 962488576 = 58632^2 + 31024^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 4400200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9799776 + ... + 9800224.

It is an arithmetic number, because the mean of its divisors is an integer number (50492025).

Almost surely, 2^4400200000 is an apocalyptic number.

4400200000 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 4400200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361995150).

4400200000 is an abundant number, since it is smaller than the sum of its proper divisors (8323790300).

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

4400200000 is an frugal number, since it uses more digits than its factorization.

4400200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4400200000 is about 66334.0033466999. The cubic root of 4400200000 is about 1638.6673687424.

Adding to 4400200000 its reverse (20044), we get a palindrome (4400220044).

The spelling of 4400200000 in words is "four billion, four hundred million, two hundred thousand".