240242113320 has 128 divisors (see below), whose sum is σ = 786470394240. Its totient is φ = 58223959040.

The previous prime is 240242113297. The next prime is 240242113351. The reversal of 240242113320 is 23311242042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4988074 + ... + 5036006.

It is an arithmetic number, because the mean of its divisors is an integer number (6144299955).

Almost surely, 2^240242113320 is an apocalyptic number.

240242113320 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 240242113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393235197120).

240242113320 is an abundant number, since it is smaller than the sum of its proper divisors (546228280920).

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

240242113320 is a wasteful number, since it uses less digits than its factorization.

240242113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51755 (or 51751 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 240242113320 its reverse (23311242042), we get a palindrome (263553355362).

The spelling of 240242113320 in words is "two hundred forty billion, two hundred forty-two million, one hundred thirteen thousand, three hundred twenty".