4403120400 has 540 divisors, whose sum is σ = 18016155300. Its totient is φ = 992839680.

The previous prime is 4403120389. The next prime is 4403120413. The reversal of 4403120400 is 40213044.

It can be written as a sum of positive squares in 6 ways, for example, as 208744704 + 4194375696 = 14448^2 + 64764^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 107 ways as a sum of consecutive naturals, for example, 19227486 + ... + 19227714.

Almost surely, 2^4403120400 is an apocalyptic number.

4403120400 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 4403120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008077650).

4403120400 is an abundant number, since it is smaller than the sum of its proper divisors (13613034900).

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

4403120400 is a wasteful number, since it uses less digits than its factorization.

4403120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4403120400 is about 66356.0125384279. The cubic root of 4403120400 is about 1639.0298148321.

Adding to 4403120400 its reverse (40213044), we get a palindrome (4443333444).

The spelling of 4403120400 in words is "four billion, four hundred three million, one hundred twenty thousand, four hundred".