4242003840 has 384 divisors, whose sum is σ = 15638313600. Its totient is φ = 1056485376.

The previous prime is 4242003817. The next prime is 4242003851. The reversal of 4242003840 is 483002424.

It is a happy number.

4242003840 is a `hidden beast` number, since 424 + 200 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9083287 + ... + 9083753.

It is an arithmetic number, because the mean of its divisors is an integer number (40724775).

Almost surely, 2^4242003840 is an apocalyptic number.

4242003840 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 4242003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800).

4242003840 is an abundant number, since it is smaller than the sum of its proper divisors (11396309760).

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

4242003840 is a wasteful number, since it uses less digits than its factorization.

4242003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4242003840 is about 65130.6674309422. The cubic root of 4242003840 is about 1618.7894019220.

The spelling of 4242003840 in words is "four billion, two hundred forty-two million, three thousand, eight hundred forty".