4212397600 has 72 divisors (see below), whose sum is σ = 10477649700. Its totient is φ = 1653150720.

The previous prime is 4212397597. The next prime is 4212397601. The reversal of 4212397600 is 67932124.

It can be written as a sum of positive squares in 6 ways, for example, as 2861394064 + 1351003536 = 53492^2 + 36756^2 .

It is not an unprimeable number, because it can be changed into a prime (4212397601) 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 11 ways as a sum of consecutive naturals, for example, 7275 + ... + 92074.

Almost surely, 2^4212397600 is an apocalyptic number.

4212397600 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 4212397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238824850).

4212397600 is an abundant number, since it is smaller than the sum of its proper divisors (6265252100).

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

4212397600 is a wasteful number, since it uses less digits than its factorization.

4212397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99422 (or 99409 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 4212397600 is about 64902.9860638168. The cubic root of 4212397600 is about 1615.0145979184.

The spelling of 4212397600 in words is "four billion, two hundred twelve million, three hundred ninety-seven thousand, six hundred".