330442322132340 has 480 divisors, whose sum is σ = 1201922395914240. Its totient is φ = 75154245292800.

The previous prime is 330442322132317. The next prime is 330442322132347. The reversal of 330442322132340 is 43231223244033.

330442322132340 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 4 + 2 + 322 + 1 + 323 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 330442322132295 and 330442322132304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330442322132347) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30136045 + ... + 39611435.

It is an arithmetic number, because the mean of its divisors is an integer number (2504004991488).

Almost surely, 2^{330442322132340} is an apocalyptic number.

330442322132340 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 330442322132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600961197957120).

330442322132340 is an abundant number, since it is smaller than the sum of its proper divisors (871480073781900).

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

330442322132340 is a wasteful number, since it uses less digits than its factorization.

330442322132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9475545 (or 9475534 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 330442322132340 its reverse (43231223244033), we get a palindrome (373673545376373).

The spelling of 330442322132340 in words is "three hundred thirty trillion, four hundred forty-two billion, three hundred twenty-two million, one hundred thirty-two thousand, three hundred forty".