330314424240 has 160 divisors (see below), whose sum is σ = 1059927606720. Its totient is φ = 84994818048.

The previous prime is 330314424239. The next prime is 330314424263. The reversal of 330314424240 is 42424413033.

It is a happy number.

It is a super-2 number, since 2×330314424240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 330314424198 and 330314424207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12187344 + ... + 12214416.

It is an arithmetic number, because the mean of its divisors is an integer number (6624547542).

Almost surely, 2^330314424240 is an apocalyptic number.

330314424240 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 330314424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529963803360).

330314424240 is an abundant number, since it is smaller than the sum of its proper divisors (729613182480).

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

330314424240 is a wasteful number, since it uses less digits than its factorization.

330314424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28871 (or 28865 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 330314424240 its reverse (42424413033), we get a palindrome (372738837273).

The spelling of 330314424240 in words is "three hundred thirty billion, three hundred fourteen million, four hundred twenty-four thousand, two hundred forty".