332402120003304 has 640 divisors, whose sum is σ = 1024211399904000. Its totient is φ = 100105586380800.

The previous prime is 332402120003251. The next prime is 332402120003309. The reversal of 332402120003304 is 403300021204233.

332402120003304 is a `hidden beast` number, since 3 + 324 + 0 + 2 + 1 + 2 + 0 + 0 + 0 + 330 + 4 = 666.

It is a super-3 number, since 3×332402120003304³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (332402120003309) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41348686117 + ... + 41348694155.

It is an arithmetic number, because the mean of its divisors is an integer number (1600330312350).

Almost surely, 2^{332402120003304} 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 332402120003304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512105699952000).

332402120003304 is an abundant number, since it is smaller than the sum of its proper divisors (691809279900696).

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

332402120003304 is a wasteful number, since it uses less digits than its factorization.

332402120003304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8711 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 332402120003304 its reverse (403300021204233), we get a palindrome (735702141207537).

The spelling of 332402120003304 in words is "three hundred thirty-two trillion, four hundred two billion, one hundred twenty million, three thousand, three hundred four".