333241009920 has 864 divisors, whose sum is σ = 1430796337152. Its totient is φ = 69728698368.

The previous prime is 333241009889. The next prime is 333241009931. The reversal of 333241009920 is 29900142333.

It is a super-2 number, since 2×333241009920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 133135389 + ... + 133137891.

Almost surely, 2^333241009920 is an apocalyptic number.

333241009920 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 333241009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715398168576).

333241009920 is an abundant number, since it is smaller than the sum of its proper divisors (1097555327232).

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

333241009920 is a wasteful number, since it uses less digits than its factorization.

333241009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 333241009920 in words is "three hundred thirty-three billion, two hundred forty-one million, nine thousand, nine hundred twenty".