332880840000000 has 1920 divisors, whose sum is σ = 1300389514744320. Its totient is φ = 84851712000000.

The previous prime is 332880839999971. The next prime is 332880840000019. The reversal of 332880840000000 is 48088233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×332880840000000² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 332880840000000.

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 191 ways as a sum of consecutive naturals, for example, 223559999256 + ... + 223560000744.

It is an arithmetic number, because the mean of its divisors is an integer number (677286205596).

Almost surely, 2^{332880840000000} is an apocalyptic number.

332880840000000 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 332880840000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650194757372160).

332880840000000 is an abundant number, since it is smaller than the sum of its proper divisors (967508674744320).

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

332880840000000 is an frugal number, since it uses more digits than its factorization.

332880840000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 332880840000000 its reverse (48088233), we get a palindrome (332880888088233).

The spelling of 332880840000000 in words is "three hundred thirty-two trillion, eight hundred eighty billion, eight hundred forty million", and thus it is an aban number.