330040100333040 has 80 divisors (see below), whose sum is σ = 1044892913430528. Its totient is φ = 86138125474048.

The previous prime is 330040100333029. The next prime is 330040100333129. The reversal of 330040100333040 is 40333001040033.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 330040100333040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14629425792 + ... + 14629448351.

Almost surely, 2^{330040100333040} is an apocalyptic number.

330040100333040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330040100333040 is an abundant number, since it is smaller than the sum of its proper divisors (714852813097488).

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

330040100333040 is a wasteful number, since it uses less digits than its factorization.

330040100333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29258874206 (or 29258874200 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 330040100333040 its reverse (40333001040033), we get a palindrome (370373101373073).

The spelling of 330040100333040 in words is "three hundred thirty trillion, forty billion, one hundred million, three hundred thirty-three thousand, forty".