4400400200 has 96 divisors (see below), whose sum is σ = 11705828160. Its totient is φ = 1506988800.

The previous prime is 4400400167. The next prime is 4400400233. The reversal of 4400400200 is 20040044.

It is an interprime number because it is at equal distance from previous prime (4400400167) and next prime (4400400233).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2142374 + ... + 2144426.

It is an arithmetic number, because the mean of its divisors is an integer number (121935710).

Almost surely, 2^4400400200 is an apocalyptic number.

4400400200 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 4400400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852914080).

4400400200 is an abundant number, since it is smaller than the sum of its proper divisors (7305427960).

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

4400400200 is a wasteful number, since it uses less digits than its factorization.

4400400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4400400200 is about 66335.5123595198. The cubic root of 4400400200 is about 1638.6922203576.

Adding to 4400400200 its reverse (20040044), we get a palindrome (4420440244).

The spelling of 4400400200 in words is "four billion, four hundred million, four hundred thousand, two hundred".