240142646241042 has 32 divisors (see below), whose sum is σ = 480481827201792. Its totient is φ = 80014793975424.

The previous prime is 240142646241007. The next prime is 240142646241049.

240142646241042 is nontrivially palindromic in base 10.

240142646241042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240142646240985 and 240142646241003.

It is not an unprimeable number, because it can be changed into a prime (240142646241049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821998688 + ... + 1822130484.

It is an arithmetic number, because the mean of its divisors is an integer number (15015057100056).

Almost surely, 2^{240142646241042} is an apocalyptic number.

240142646241042 is an abundant number, since it is smaller than the sum of its proper divisors (240339180960750).

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

240142646241042 is a wasteful number, since it uses less digits than its factorization.

240142646241042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253762.

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 240142646241042 in words is "two hundred forty trillion, one hundred forty-two billion, six hundred forty-six million, two hundred forty-one thousand, forty-two".