240344302240 has 288 divisors, whose sum is σ = 684943030800. Its totient is φ = 79370403840.

The previous prime is 240344302189. The next prime is 240344302243. The reversal of 240344302240 is 42203443042.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 162367090704 + 77977211536 = 402948^2 + 279244^2 .

It is a super-4 number, since 4×240344302240⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 240344302199 and 240344302208.

It is not an unprimeable number, because it can be changed into a prime (240344302243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118453546 + ... + 118455574.

Almost surely, 2^240344302240 is an apocalyptic number.

240344302240 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 240344302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342471515400).

240344302240 is an abundant number, since it is smaller than the sum of its proper divisors (444598728560).

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

240344302240 is a wasteful number, since it uses less digits than its factorization.

240344302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 240344302240 its reverse (42203443042), we get a palindrome (282547745282).

The spelling of 240344302240 in words is "two hundred forty billion, three hundred forty-four million, three hundred two thousand, two hundred forty".