330044134033020 has 96 divisors (see below), whose sum is σ = 1008162898928640. Its totient is φ = 80008469832960.

The previous prime is 330044134032983. The next prime is 330044134033027. The reversal of 330044134033020 is 20330431440033.

It is a super-2 number, since 2×330044134033020² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330044134033027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16800126 + ... + 30697434.

It is an arithmetic number, because the mean of its divisors is an integer number (10501696863840).

Almost surely, 2^{330044134033020} is an apocalyptic number.

330044134033020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330044134033020 is an abundant number, since it is smaller than the sum of its proper divisors (678118764895620).

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

330044134033020 is a wasteful number, since it uses less digits than its factorization.

330044134033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13933315 (or 13933313 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 330044134033020 its reverse (20330431440033), we get a palindrome (350374565473053).

The spelling of 330044134033020 in words is "three hundred thirty trillion, forty-four billion, one hundred thirty-four million, thirty-three thousand, twenty".