331666440 has 128 divisors (see below), whose sum is σ = 1186652160. Its totient is φ = 72509184.

The previous prime is 331666403. The next prime is 331666441. The reversal of 331666440 is 44666133.

It is a super-2 number, since 2×331666440² = 220005254844547200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331666441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10737 + ... + 27903.

It is an arithmetic number, because the mean of its divisors is an integer number (9270720).

Almost surely, 2^331666440 is an apocalyptic number.

331666440 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 331666440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593326080).

331666440 is an abundant number, since it is smaller than the sum of its proper divisors (854985720).

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

331666440 is a wasteful number, since it uses less digits than its factorization.

331666440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17211 (or 17207 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 331666440 is about 18211.7116164297. The cubic root of 331666440 is about 692.2035831673.

The spelling of 331666440 in words is "three hundred thirty-one million, six hundred sixty-six thousand, four hundred forty".