4244322400 has 72 divisors (see below), whose sum is σ = 10492765920. Its totient is φ = 1676213760.

The previous prime is 4244322373. The next prime is 4244322403. The reversal of 4244322400 is 42234424.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244322403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29622 + ... + 96778.

It is an arithmetic number, because the mean of its divisors is an integer number (145732860).

Almost surely, 2^4244322400 is an apocalyptic number.

4244322400 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 4244322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246382960).

4244322400 is an abundant number, since it is smaller than the sum of its proper divisors (6248443520).

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

4244322400 is a wasteful number, since it uses less digits than its factorization.

4244322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67256 (or 67243 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 4244322400 is about 65148.4642950239. The cubic root of 4244322400 is about 1619.0842764590.

Adding to 4244322400 its reverse (42234424), we get a palindrome (4286556824).

The spelling of 4244322400 in words is "four billion, two hundred forty-four million, three hundred twenty-two thousand, four hundred".