4231242240 has 320 divisors, whose sum is σ = 14424791040. Its totient is φ = 1055047680.

The previous prime is 4231242233. The next prime is 4231242241. The reversal of 4231242240 is 422421324.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4231242240.

It is not an unprimeable number, because it can be changed into a prime (4231242241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15613305 + ... + 15613575.

It is an arithmetic number, because the mean of its divisors is an integer number (45077472).

Almost surely, 2^4231242240 is an apocalyptic number.

4231242240 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 4231242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212395520).

4231242240 is an abundant number, since it is smaller than the sum of its proper divisors (10193548800).

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

4231242240 is a wasteful number, since it uses less digits than its factorization.

4231242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4231242240 is about 65047.9995080556. Note that the first 3 decimals coincide. The cubic root of 4231242240 is about 1617.4193327169.

Adding to 4231242240 its reverse (422421324), we get a palindrome (4653663564).

The spelling of 4231242240 in words is "four billion, two hundred thirty-one million, two hundred forty-two thousand, two hundred forty".