4034404400 has 120 divisors (see below), whose sum is σ = 10490568144. Its totient is φ = 1482163200.

The previous prime is 4034404379. The next prime is 4034404403. The reversal of 4034404400 is 44044304.

It is not an unprimeable number, because it can be changed into a prime (4034404403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1095362 + ... + 1099038.

Almost surely, 2^4034404400 is an apocalyptic number.

4034404400 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 4034404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245284072).

4034404400 is an abundant number, since it is smaller than the sum of its proper divisors (6456163744).

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

4034404400 is a wasteful number, since it uses less digits than its factorization.

4034404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 4034404400 is about 63516.9615142286. The cubic root of 4034404400 is about 1591.9391974455.

Adding to 4034404400 its reverse (44044304), we get a palindrome (4078448704).

The spelling of 4034404400 in words is "four billion, thirty-four million, four hundred four thousand, four hundred".