330141420 has 180 divisors, whose sum is σ = 1205043840. Its totient is φ = 75442752.

The previous prime is 330141419. The next prime is 330141421. The reversal of 330141420 is 24141033.

It is an interprime number because it is at equal distance from previous prime (330141419) and next prime (330141421).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330141393 and 330141402.

It is not an unprimeable number, because it can be changed into a prime (330141421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77301 + ... + 81459.

It is an arithmetic number, because the mean of its divisors is an integer number (6694688).

Almost surely, 2^330141420 is an apocalyptic number.

330141420 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 330141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602521920).

330141420 is an abundant number, since it is smaller than the sum of its proper divisors (874902420).

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

330141420 is a wasteful number, since it uses less digits than its factorization.

330141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 330141420 is about 18169.7941650422. The cubic root of 330141420 is about 691.1410232521.

Adding to 330141420 its reverse (24141033), we get a palindrome (354282453).

The spelling of 330141420 in words is "three hundred thirty million, one hundred forty-one thousand, four hundred twenty".