240344424320 has 256 divisors, whose sum is σ = 771457236480. Its totient is φ = 69149859840.

The previous prime is 240344424293. The next prime is 240344424323. The reversal of 240344424320 is 23424443042.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240344424323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453059 + ... + 828221.

It is an arithmetic number, because the mean of its divisors is an integer number (3013504830).

Almost surely, 2^240344424320 is an apocalyptic number.

240344424320 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 240344424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385728618240).

240344424320 is an abundant number, since it is smaller than the sum of its proper divisors (531112812160).

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

240344424320 is a wasteful number, since it uses less digits than its factorization.

240344424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375213 (or 375201 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 240344424320 its reverse (23424443042), we get a palindrome (263768867362).

The spelling of 240344424320 in words is "two hundred forty billion, three hundred forty-four million, four hundred twenty-four thousand, three hundred twenty".