4240822320 has 240 divisors, whose sum is σ = 16802353152. Its totient is φ = 938027520.

The previous prime is 4240822319. The next prime is 4240822367. The reversal of 4240822320 is 232280424.

4240822320 is a `hidden beast` number, since 424 + 0 + 8 + 2 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142669 + ... + 169811.

Almost surely, 2^4240822320 is an apocalyptic number.

4240822320 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 4240822320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401176576).

4240822320 is an abundant number, since it is smaller than the sum of its proper divisors (12561530832).

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

4240822320 is a wasteful number, since it uses less digits than its factorization.

4240822320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27200 (or 27191 counting only the distinct ones).

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

The square root of 4240822320 is about 65121.5964177783. The cubic root of 4240822320 is about 1618.6390948401.

The spelling of 4240822320 in words is "four billion, two hundred forty million, eight hundred twenty-two thousand, three hundred twenty".