4122504400 has 120 divisors (see below), whose sum is σ = 11463115520. Its totient is φ = 1395463680.

The previous prime is 4122504343. The next prime is 4122504413. The reversal of 4122504400 is 44052214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211882 + ... + 230518.

Almost surely, 2^4122504400 is an apocalyptic number.

4122504400 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 4122504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731557760).

4122504400 is an abundant number, since it is smaller than the sum of its proper divisors (7340611120).

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

4122504400 is a wasteful number, since it uses less digits than its factorization.

4122504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18741 (or 18730 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4122504400 is about 64206.7317342971. The cubic root of 4122504400 is about 1603.4436766146.

Adding to 4122504400 its reverse (44052214), we get a palindrome (4166556614).

The spelling of 4122504400 in words is "four billion, one hundred twenty-two million, five hundred four thousand, four hundred".