240421868124042 has 128 divisors (see below), whose sum is σ = 560030042658816. Its totient is φ = 68566239456000.

The previous prime is 240421868124037. The next prime is 240421868124083.

240421868124042 is nontrivially palindromic in base 10.

240421868124042 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 = 240421868123982 and 240421868124000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5135988817 + ... + 5136035627.

It is an arithmetic number, because the mean of its divisors is an integer number (4375234708272).

Almost surely, 2^{240421868124042} is an apocalyptic number.

240421868124042 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 240421868124042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280015021329408).

240421868124042 is an abundant number, since it is smaller than the sum of its proper divisors (319608174534774).

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

240421868124042 is a wasteful number, since it uses less digits than its factorization.

240421868124042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84697 (or 84675 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 240421868124042 in words is "two hundred forty trillion, four hundred twenty-one billion, eight hundred sixty-eight million, one hundred twenty-four thousand, forty-two".