330142000410 has 24 divisors (see below), whose sum is σ = 858369201300. Its totient is φ = 88037866752.

The previous prime is 330142000403. The next prime is 330142000457. The reversal of 330142000410 is 14000241033.

It can be written as a sum of positive squares in 2 ways, for example, as 324431628921 + 5710371489 = 569589^2 + 75567^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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 11 ways as a sum of consecutive naturals, for example, 1834122135 + ... + 1834122314.

Almost surely, 2^330142000410 is an apocalyptic number.

330142000410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330142000410 is an abundant number, since it is smaller than the sum of its proper divisors (528227200890).

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

330142000410 is a wasteful number, since it uses less digits than its factorization.

330142000410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668244462 (or 3668244459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 330142000410 its reverse (14000241033), we get a palindrome (344142241443).

The spelling of 330142000410 in words is "three hundred thirty billion, one hundred forty-two million, four hundred ten", and thus it is an aban number.