240024440420 has 24 divisors (see below), whose sum is σ = 504072185400. Its totient is φ = 96005802752.

The previous prime is 240024440407. The next prime is 240024440441. The reversal of 240024440420 is 24044420042.

240024440420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14695743076 + 225328697344 = 121226^2 + 474688^2 .

It is a super-2 number, since 2×240024440420² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240024440420.

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 7 ways as a sum of consecutive naturals, for example, 273776 + ... + 744984.

It is an arithmetic number, because the mean of its divisors is an integer number (21003007725).

Almost surely, 2^240024440420 is an apocalyptic number.

240024440420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240024440420 is an abundant number, since it is smaller than the sum of its proper divisors (264047744980).

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

240024440420 is a wasteful number, since it uses less digits than its factorization.

240024440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496687 (or 496685 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 240024440420 its reverse (24044420042), we get a palindrome (264068860462).

The spelling of 240024440420 in words is "two hundred forty billion, twenty-four million, four hundred forty thousand, four hundred twenty".