240224424440 has 512 divisors, whose sum is σ = 766992844800. Its totient is φ = 65213890560.

The previous prime is 240224424413. The next prime is 240224424443. The reversal of 240224424440 is 44424422042.

It is a junction number, because it is equal to n+sod(n) for n = 240224424397 and 240224424406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240224424443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256375652 + ... + 256376588.

It is an arithmetic number, because the mean of its divisors is an integer number (1498032900).

Almost surely, 2^240224424440 is an apocalyptic number.

240224424440 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 240224424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383496422400).

240224424440 is an abundant number, since it is smaller than the sum of its proper divisors (526768420360).

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

240224424440 is a wasteful number, since it uses less digits than its factorization.

240224424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1331 counting only the distinct ones).

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

Adding to 240224424440 its reverse (44424422042), we get a palindrome (284648846482).

The spelling of 240224424440 in words is "two hundred forty billion, two hundred twenty-four million, four hundred twenty-four thousand, four hundred forty".