240200243040 has 192 divisors, whose sum is σ = 771551827200. Its totient is φ = 62796171264.

The previous prime is 240200243039. The next prime is 240200243053. The reversal of 240200243040 is 40342002042.

It is a junction number, because it is equal to n+sod(n) for n = 240200242998 and 240200243016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10551991 + ... + 10574729.

It is an arithmetic number, because the mean of its divisors is an integer number (4018499100).

Almost surely, 2^240200243040 is an apocalyptic number.

240200243040 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 240200243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385775913600).

240200243040 is an abundant number, since it is smaller than the sum of its proper divisors (531351584160).

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

240200243040 is a wasteful number, since it uses less digits than its factorization.

240200243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23189 (or 23181 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 240200243040 its reverse (40342002042), we get a palindrome (280542245082).

The spelling of 240200243040 in words is "two hundred forty billion, two hundred million, two hundred forty-three thousand, forty".