4202868384 has 960 divisors, whose sum is σ = 16597405440. Its totient is φ = 1021870080.

The previous prime is 4202868379. The next prime is 4202868403. The reversal of 4202868384 is 4838682024.

4202868384 is a `hidden beast` number, since 4 + 202 + 8 + 68 + 384 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 144926482 + ... + 144926510.

It is an arithmetic number, because the mean of its divisors is an integer number (17288964).

Almost surely, 2^4202868384 is an apocalyptic number.

4202868384 is a gapful number since it is divisible by the number (44) 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 4202868384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298702720).

4202868384 is an abundant number, since it is smaller than the sum of its proper divisors (12394537056).

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

4202868384 is a wasteful number, since it uses less digits than its factorization.

4202868384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4202868384 is about 64829.5332699534. The cubic root of 4202868384 is about 1613.7958587044.

The spelling of 4202868384 in words is "four billion, two hundred two million, eight hundred sixty-eight thousand, three hundred eighty-four".