330042312144100 has 72 divisors (see below), whose sum is σ = 719000249788800. Its totient is φ = 131499272478720.

The previous prime is 330042312144073. The next prime is 330042312144109. The reversal of 330042312144100 is 1441213240033.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (330042312144109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940418857 + ... + 940769743.

It is an arithmetic number, because the mean of its divisors is an integer number (9986114580400).

Almost surely, 2^{330042312144100} is an apocalyptic number.

It is an amenable number.

330042312144100 is an abundant number, since it is smaller than the sum of its proper divisors (388957937644700).

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

330042312144100 is a wasteful number, since it uses less digits than its factorization.

330042312144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387757 (or 387750 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 330042312144100 its reverse (1441213240033), we get a palindrome (331483525384133).

The spelling of 330042312144100 in words is "three hundred thirty trillion, forty-two billion, three hundred twelve million, one hundred forty-four thousand, one hundred".