330413121420 has 96 divisors (see below), whose sum is σ = 948511408320. Its totient is φ = 85889495040.

The previous prime is 330413121413. The next prime is 330413121457. The reversal of 330413121420 is 24121314033.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 2928616 + ... + 3039344.

It is an arithmetic number, because the mean of its divisors is an integer number (9880327170).

Almost surely, 2^330413121420 is an apocalyptic number.

330413121420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330413121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474255704160).

330413121420 is an abundant number, since it is smaller than the sum of its proper divisors (618098286900).

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

330413121420 is a wasteful number, since it uses less digits than its factorization.

330413121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111995 (or 111993 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 330413121420 its reverse (24121314033), we get a palindrome (354534435453).

The spelling of 330413121420 in words is "three hundred thirty billion, four hundred thirteen million, one hundred twenty-one thousand, four hundred twenty".