4040411200 has 168 divisors, whose sum is σ = 11524512384. Its totient is φ = 1365504000.

The previous prime is 4040411197. The next prime is 4040411201. The reversal of 4040411200 is 21140404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040411201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 792660 + ... + 797740.

It is an arithmetic number, because the mean of its divisors is an integer number (68598288).

Almost surely, 2^4040411200 is an apocalyptic number.

4040411200 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 4040411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762256192).

4040411200 is an abundant number, since it is smaller than the sum of its proper divisors (7484101184).

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

4040411200 is a wasteful number, since it uses less digits than its factorization.

4040411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4040411200 is about 63564.2289342048. The cubic root of 4040411200 is about 1592.7288818298.

Adding to 4040411200 its reverse (21140404), we get a palindrome (4061551604).

The spelling of 4040411200 in words is "four billion, forty million, four hundred eleven thousand, two hundred".