240403432240 has 80 divisors (see below), whose sum is σ = 565413186240. Its totient is φ = 95048110080.

The previous prime is 240403432223. The next prime is 240403432261. The reversal of 240403432240 is 42234304042.

It is a happy number.

240403432240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 240403432199 and 240403432208.

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 15 ways as a sum of consecutive naturals, for example, 38665612 + ... + 38671828.

It is an arithmetic number, because the mean of its divisors is an integer number (7067664828).

Almost surely, 2^240403432240 is an apocalyptic number.

240403432240 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 240403432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282706593120).

240403432240 is an abundant number, since it is smaller than the sum of its proper divisors (325009754000).

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

240403432240 is a wasteful number, since it uses less digits than its factorization.

240403432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11750 (or 11744 counting only the distinct ones).

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

Adding to 240403432240 its reverse (42234304042), we get a palindrome (282637736282).

The spelling of 240403432240 in words is "two hundred forty billion, four hundred three million, four hundred thirty-two thousand, two hundred forty".