4412144000 has 384 divisors, whose sum is σ = 12570798240. Its totient is φ = 1537536000.

The previous prime is 4412143991. The next prime is 4412144057. The reversal of 4412144000 is 4412144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 83247974 + ... + 83248026.

Almost surely, 2^4412144000 is an apocalyptic number.

4412144000 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 4412144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285399120).

4412144000 is an abundant number, since it is smaller than the sum of its proper divisors (8158654240).

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

4412144000 is a wasteful number, since it uses less digits than its factorization.

4412144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4412144000 is about 66423.9715765325. The cubic root of 4412144000 is about 1640.1487075149.

Adding to 4412144000 its reverse (4412144), we get a palindrome (4416556144).

4412144000 divided by its reverse (4412144) gives a cube (1000 = 10³).

The spelling of 4412144000 in words is "four billion, four hundred twelve million, one hundred forty-four thousand".