4142944000 has 288 divisors, whose sum is σ = 11624505984. Its totient is φ = 1459814400.

The previous prime is 4142943967. The next prime is 4142944009. The reversal of 4142944000 is 4492414.

It is a self number, because there is not a number n which added to its sum of digits gives 4142944000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142944009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9567784 + ... + 9568216.

It is an arithmetic number, because the mean of its divisors is an integer number (40362868).

Almost surely, 2^4142944000 is an apocalyptic number.

4142944000 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 4142944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812252992).

4142944000 is an abundant number, since it is smaller than the sum of its proper divisors (7481561984).

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

4142944000 is a wasteful number, since it uses less digits than its factorization.

4142944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4142944000 is about 64365.7051542201. The cubic root of 4142944000 is about 1606.0892958977.

The spelling of 4142944000 in words is "four billion, one hundred forty-two million, nine hundred forty-four thousand".