330441242333440 has 144 divisors (see below), whose sum is σ = 908186823008640. Its totient is φ = 112842768384000.

The previous prime is 330441242333407. The next prime is 330441242333483. The reversal of 330441242333440 is 44333242144033.

It is a super-2 number, since 2×330441242333440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 330441242333393 and 330441242333402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71216385 + ... + 75714304.

It is an arithmetic number, because the mean of its divisors is an integer number (6306852937560).

Almost surely, 2^{330441242333440} is an apocalyptic number.

It is an amenable number.

330441242333440 is an abundant number, since it is smaller than the sum of its proper divisors (577745580675200).

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

330441242333440 is a wasteful number, since it uses less digits than its factorization.

330441242333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146930968 (or 146930954 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 330441242333440 its reverse (44333242144033), we get a palindrome (374774484477473).

The spelling of 330441242333440 in words is "three hundred thirty trillion, four hundred forty-one billion, two hundred forty-two million, three hundred thirty-three thousand, four hundred forty".