330240142010400 has 144 divisors (see below), whose sum is σ = 1074966066518400. Its totient is φ = 88061219292160.

The previous prime is 330240142010269. The next prime is 330240142010407. The reversal of 330240142010400 is 4010241042033.

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

It is not an unprimeable number, because it can be changed into a prime (330240142010407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73339321 + ... + 77711879.

It is an arithmetic number, because the mean of its divisors is an integer number (7465042128600).

Almost surely, 2^{330240142010400} is an apocalyptic number.

330240142010400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330240142010400 is an abundant number, since it is smaller than the sum of its proper divisors (744725924508000).

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

330240142010400 is a wasteful number, since it uses less digits than its factorization.

330240142010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404051 (or 4404038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 330240142010400 its reverse (4010241042033), we get a palindrome (334250383052433).

The spelling of 330240142010400 in words is "three hundred thirty trillion, two hundred forty billion, one hundred forty-two million, ten thousand, four hundred".