330323132400000 has 384 divisors, whose sum is σ = 1097016907986720. Its totient is φ = 88061184000000.

The previous prime is 330323132399983. The next prime is 330323132400017. The reversal of 330323132400000 is 4231323033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (330323132399983) and next prime (330323132400017).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×330323132400000² (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 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 47 ways as a sum of consecutive naturals, for example, 4441162812 + ... + 4441237188.

Almost surely, 2^{330323132400000} is an apocalyptic number.

330323132400000 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 330323132400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548508453993360).

330323132400000 is an abundant number, since it is smaller than the sum of its proper divisors (766693775586720).

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

330323132400000 is an frugal number, since it uses more digits than its factorization.

330323132400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78120 (or 78088 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 330323132400000 its reverse (4231323033), we get a palindrome (330327363723033).

The spelling of 330323132400000 in words is "three hundred thirty trillion, three hundred twenty-three billion, one hundred thirty-two million, four hundred thousand".