240048840042 has 96 divisors (see below), whose sum is σ = 575621354880. Its totient is φ = 71691840000.

The previous prime is 240048840029. The next prime is 240048840049.

240048840042 is a `hidden beast` number, since 240 + 0 + 4 + 8 + 8 + 400 + 4 + 2 = 666.

240048840042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 240048839979 and 240048840006.

It is not an unprimeable number, because it can be changed into a prime (240048840049) 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, 5458542 + ... + 5502342.

It is an arithmetic number, because the mean of its divisors is an integer number (5996055780).

Almost surely, 2^240048840042 is an apocalyptic number.

240048840042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240048840042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287810677440).

240048840042 is an abundant number, since it is smaller than the sum of its proper divisors (335572514838).

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

240048840042 is a wasteful number, since it uses less digits than its factorization.

240048840042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44220 (or 44217 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 240048840042 in words is "two hundred forty billion, forty-eight million, eight hundred forty thousand, forty-two".