4142448000 has 512 divisors, whose sum is σ = 15682867200. Its totient is φ = 1074124800.

The previous prime is 4142447989. The next prime is 4142448017. The reversal of 4142448000 is 8442414.

It is a happy number.

4142448000 is a `hidden beast` number, since 414 + 244 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 18575889 + ... + 18576111.

It is an arithmetic number, because the mean of its divisors is an integer number (30630600).

Almost surely, 2^4142448000 is an apocalyptic number.

4142448000 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 4142448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841433600).

4142448000 is an abundant number, since it is smaller than the sum of its proper divisors (11540419200).

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

4142448000 is a wasteful number, since it uses less digits than its factorization.

4142448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4142448000 is about 64361.8520553907. The cubic root of 4142448000 is about 1606.0251987980.

The spelling of 4142448000 in words is "four billion, one hundred forty-two million, four hundred forty-eight thousand".