4244212400 has 120 divisors (see below), whose sum is σ = 10804792080. Its totient is φ = 1597639680.

The previous prime is 4244212393. The next prime is 4244212421. The reversal of 4244212400 is 42124424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191422 + ... + 1194978.

It is an arithmetic number, because the mean of its divisors is an integer number (90039934).

Almost surely, 2^4244212400 is an apocalyptic number.

4244212400 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 4244212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402396040).

4244212400 is an abundant number, since it is smaller than the sum of its proper divisors (6560579680).

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

4244212400 is a wasteful number, since it uses less digits than its factorization.

4244212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4244212400 is about 65147.6200639747. The cubic root of 4244212400 is about 1619.0702890823.

Adding to 4244212400 its reverse (42124424), we get a palindrome (4286336824).

The spelling of 4244212400 in words is "four billion, two hundred forty-four million, two hundred twelve thousand, four hundred".