330344033031040 has 128 divisors (see below), whose sum is σ = 902562899857920. Its totient is φ = 113258827376640.

The previous prime is 330344033031031. The next prime is 330344033031071. The reversal of 330344033031040 is 40130330443033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 330344033030993 and 330344033031011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267570355 + ... + 268802125.

It is an arithmetic number, because the mean of its divisors is an integer number (7051272655140).

Almost surely, 2^{330344033031040} is an apocalyptic number.

It is an amenable number.

330344033031040 is an abundant number, since it is smaller than the sum of its proper divisors (572218866826880).

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

330344033031040 is a wasteful number, since it uses less digits than its factorization.

330344033031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291660 (or 1291648 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 330344033031040 its reverse (40130330443033), we get a palindrome (370474363474073).

The spelling of 330344033031040 in words is "three hundred thirty trillion, three hundred forty-four billion, thirty-three million, thirty-one thousand, forty".