330040100414040 has 32 divisors (see below), whose sum is σ = 990120301242480. Its totient is φ = 88010693443712.

The previous prime is 330040100413981. The next prime is 330040100414051. The reversal of 330040100414040 is 40414001040033.

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 330040100414040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1375167084939 + ... + 1375167085178.

Almost surely, 2^{330040100414040} is an apocalyptic number.

330040100414040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330040100414040 is an abundant number, since it is smaller than the sum of its proper divisors (660080200828440).

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

330040100414040 is a wasteful number, since it uses less digits than its factorization.

330040100414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750334170131 (or 2750334170127 counting only the distinct ones).

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

Adding to 330040100414040 its reverse (40414001040033), we get a palindrome (370454101454073).

The spelling of 330040100414040 in words is "three hundred thirty trillion, forty billion, one hundred million, four hundred fourteen thousand, forty".