4040122200 has 96 divisors (see below), whose sum is σ = 12571100160. Its totient is φ = 1073347200.

The previous prime is 4040122189. The next prime is 4040122231. The reversal of 4040122200 is 22210404.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4040122200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150177 + ... + 175023.

It is an arithmetic number, because the mean of its divisors is an integer number (130948960).

Almost surely, 2^4040122200 is an apocalyptic number.

4040122200 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 4040122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285550080).

4040122200 is an abundant number, since it is smaller than the sum of its proper divisors (8530977960).

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

4040122200 is a wasteful number, since it uses less digits than its factorization.

4040122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25137 (or 25128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4040122200 is about 63561.9556023884. The cubic root of 4040122200 is about 1592.6909063532.

Adding to 4040122200 its reverse (22210404), we get a palindrome (4062332604).

The spelling of 4040122200 in words is "four billion, forty million, one hundred twenty-two thousand, two hundred".