330411220040 has 128 divisors (see below), whose sum is σ = 865814987520. Its totient is φ = 113081605120.

The previous prime is 330411220003. The next prime is 330411220067. The reversal of 330411220040 is 40022114033.

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

It is a junction number, because it is equal to n+sod(n) for n = 330411219994 and 330411220021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722549 + ... + 1087611.

It is an arithmetic number, because the mean of its divisors is an integer number (6764179590).

Almost surely, 2^330411220040 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 330411220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432907493760).

330411220040 is an abundant number, since it is smaller than the sum of its proper divisors (535403767480).

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

330411220040 is a wasteful number, since it uses less digits than its factorization.

330411220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365124 (or 365098 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 330411220040 its reverse (40022114033), we get a palindrome (370433334073).

The spelling of 330411220040 in words is "three hundred thirty billion, four hundred eleven million, two hundred twenty thousand, forty".