330100130333040 has 160 divisors (see below), whose sum is σ = 1077647408889600. Its totient is φ = 83356667136000.

The previous prime is 330100130332991. The next prime is 330100130333081. The reversal of 330100130333040 is 40333031001033.

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 330100130333040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5815045 + ... + 26344164.

It is an arithmetic number, because the mean of its divisors is an integer number (6735296305560).

Almost surely, 2^{330100130333040} is an apocalyptic number.

330100130333040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330100130333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538823704444800).

330100130333040 is an abundant number, since it is smaller than the sum of its proper divisors (747547278556560).

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

330100130333040 is a wasteful number, since it uses less digits than its factorization.

330100130333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32161495 (or 32161489 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 330100130333040 its reverse (40333031001033), we get a palindrome (370433161334073).

The spelling of 330100130333040 in words is "three hundred thirty trillion, one hundred billion, one hundred thirty million, three hundred thirty-three thousand, forty".