330241200320400 has 60 divisors (see below), whose sum is σ = 1057872645030192. Its totient is φ = 88064320085120.

The previous prime is 330241200320377. The next prime is 330241200320429. The reversal of 330241200320400 is 4023002142033.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×330241200320400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137600498934 + ... + 137600501333.

Almost surely, 2^{330241200320400} is an apocalyptic number.

330241200320400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330241200320400 is an abundant number, since it is smaller than the sum of its proper divisors (727631444709792).

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

330241200320400 is a wasteful number, since it uses less digits than its factorization.

330241200320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275201000288 (or 275201000277 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 330241200320400 its reverse (4023002142033), we get a palindrome (334264202462433).

The spelling of 330241200320400 in words is "three hundred thirty trillion, two hundred forty-one billion, two hundred million, three hundred twenty thousand, four hundred".