330240231200040 has 256 divisors, whose sum is σ = 1133677608837120. Its totient is φ = 75388515333120.

The previous prime is 330240231199841. The next prime is 330240231200069. The reversal of 330240231200040 is 40002132042033.

It is a super-2 number, since 2×330240231200040² (a number of 30 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 2167124650 + ... + 2167277030.

It is an arithmetic number, because the mean of its divisors is an integer number (4428428159520).

Almost surely, 2^{330240231200040} is an apocalyptic number.

330240231200040 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 330240231200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566838804418560).

330240231200040 is an abundant number, since it is smaller than the sum of its proper divisors (803437377637080).

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

330240231200040 is a wasteful number, since it uses less digits than its factorization.

330240231200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155632 (or 155628 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 330240231200040 its reverse (40002132042033), we get a palindrome (370242363242073).

The spelling of 330240231200040 in words is "three hundred thirty trillion, two hundred forty billion, two hundred thirty-one million, two hundred thousand, forty".