332013768240 has 480 divisors, whose sum is σ = 1294957117440. Its totient is φ = 68881950720.

The previous prime is 332013768223. The next prime is 332013768253. The reversal of 332013768240 is 42867310233.

It is a super-3 number, since 3×332013768240³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259587921 + ... + 259589199.

It is an arithmetic number, because the mean of its divisors is an integer number (2697827328).

Almost surely, 2^332013768240 is an apocalyptic number.

332013768240 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 332013768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647478558720).

332013768240 is an abundant number, since it is smaller than the sum of its proper divisors (962943349200).

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

332013768240 is a wasteful number, since it uses less digits than its factorization.

332013768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 332013768240 in words is "three hundred thirty-two billion, thirteen million, seven hundred sixty-eight thousand, two hundred forty".