4215122400 has 144 divisors (see below), whose sum is σ = 13773337200. Its totient is φ = 1119682560.

The previous prime is 4215122339. The next prime is 4215122413. The reversal of 4215122400 is 42215124.

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, 642336 + ... + 648864.

It is an arithmetic number, because the mean of its divisors is an integer number (95648175).

Almost surely, 2^4215122400 is an apocalyptic number.

4215122400 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 4215122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886668600).

4215122400 is an abundant number, since it is smaller than the sum of its proper divisors (9558214800).

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

4215122400 is a wasteful number, since it uses less digits than its factorization.

4215122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4215122400 is about 64923.9740003645. The cubic root of 4215122400 is about 1615.3627482824.

Adding to 4215122400 its reverse (42215124), we get a palindrome (4257337524).

The spelling of 4215122400 in words is "four billion, two hundred fifteen million, one hundred twenty-two thousand, four hundred".