240332404233042 has 576 divisors, whose sum is σ = 627748287828480. Its totient is φ = 66184715520000.

The previous prime is 240332404232959. The next prime is 240332404233059.

240332404233042 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 3 + 240 + 42 + 330 + 42 = 666.

240332404233042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 240332404232988 and 240332404233006.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61989269208 + ... + 61989273084.

It is an arithmetic number, because the mean of its divisors is an integer number (1089840777480).

Almost surely, 2^{240332404233042} is an apocalyptic number.

240332404233042 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 240332404233042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313874143914240).

240332404233042 is an abundant number, since it is smaller than the sum of its proper divisors (387415883595438).

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

240332404233042 is a wasteful number, since it uses less digits than its factorization.

240332404233042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 24033240 and 4233042, that added together give a palindrome (28266282).

The spelling of 240332404233042 in words is "two hundred forty trillion, three hundred thirty-two billion, four hundred four million, two hundred thirty-three thousand, forty-two".