330300300004040 has 128 divisors (see below), whose sum is σ = 768826041379200. Its totient is φ = 127656186316800.

The previous prime is 330300300004009. The next prime is 330300300004069. The reversal of 330300300004040 is 40400003003033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27597947 + ... + 37712693.

It is an arithmetic number, because the mean of its divisors is an integer number (6006453448275).

Almost surely, 2^{330300300004040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330300300004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384413020689600).

330300300004040 is an abundant number, since it is smaller than the sum of its proper divisors (438525741375160).

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

330300300004040 is a wasteful number, since it uses less digits than its factorization.

330300300004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115055 (or 10115051 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 330300300004040 its reverse (40400003003033), we get a palindrome (370700303007073).

The spelling of 330300300004040 in words is "three hundred thirty trillion, three hundred billion, three hundred million, four thousand, forty".