4004055200 has 72 divisors (see below), whose sum is σ = 9825925788. Its totient is φ = 1593262080.

The previous prime is 4004055199. The next prime is 4004055281. The reversal of 4004055200 is 25504004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 495151504 + 3508903696 = 22252^2 + 59236^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141434 + ... + 167366.

Almost surely, 2^4004055200 is an apocalyptic number.

4004055200 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 4004055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912962894).

4004055200 is an abundant number, since it is smaller than the sum of its proper divisors (5821870588).

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

4004055200 is a wasteful number, since it uses less digits than its factorization.

4004055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26146 (or 26133 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 4004055200 is about 63277.6042530057. The cubic root of 4004055200 is about 1587.9373065195.

Adding to 4004055200 its reverse (25504004), we get a palindrome (4029559204).

The spelling of 4004055200 in words is "four billion, four million, fifty-five thousand, two hundred".