240330525033042 has 768 divisors, whose sum is σ = 595935231091200. Its totient is φ = 69643697356800.

The previous prime is 240330525033017. The next prime is 240330525033083.

It is a happy number.

240330525033042 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 30 + 5 + 250 + 330 + 42 = 666.

240330525033042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×240330525033042² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240330525032988 and 240330525033006.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 867619223808 + ... + 867619224084.

It is an arithmetic number, because the mean of its divisors is an integer number (775957332150).

Almost surely, 2^{240330525033042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240330525033042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297967615545600).

240330525033042 is an abundant number, since it is smaller than the sum of its proper divisors (355604706058158).

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

240330525033042 is a wasteful number, since it uses less digits than its factorization.

240330525033042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

The spelling of 240330525033042 in words is "two hundred forty trillion, three hundred thirty billion, five hundred twenty-five million, thirty-three thousand, forty-two".