240240442400 has 72 divisors (see below), whose sum is σ = 670270849920. Its totient is φ = 82368149760.

The previous prime is 240240442361. The next prime is 240240442411. The reversal of 240240442400 is 4244042042.

It is a self number, because there is not a number n which added to its sum of digits gives 240240442400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21444440 + ... + 21455639.

It is an arithmetic number, because the mean of its divisors is an integer number (9309317360).

Almost surely, 2^240240442400 is an apocalyptic number.

240240442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240240442400 is an abundant number, since it is smaller than the sum of its proper divisors (430030407520).

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

240240442400 is a wasteful number, since it uses less digits than its factorization.

240240442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42900106 (or 42900093 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 240240442400 its reverse (4244042042), we get a palindrome (244484484442).

The spelling of 240240442400 in words is "two hundred forty billion, two hundred forty million, four hundred forty-two thousand, four hundred".