240420444440 has 128 divisors (see below), whose sum is σ = 597342600000. Its totient is φ = 86360064000.

The previous prime is 240420444427. The next prime is 240420444491. The reversal of 240420444440 is 44444024042.

240420444440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240420444397 and 240420444406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19947536 + ... + 19959584.

Almost surely, 2^240420444440 is an apocalyptic number.

240420444440 is a gapful number since it is divisible by the number (20) 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 240420444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298671300000).

240420444440 is an abundant number, since it is smaller than the sum of its proper divisors (356922155560).

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

240420444440 is a wasteful number, since it uses less digits than its factorization.

240420444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 240420444440 its reverse (44444024042), we get a palindrome (284864468482).

The spelling of 240420444440 in words is "two hundred forty billion, four hundred twenty million, four hundred forty-four thousand, four hundred forty".