332332005040 has 160 divisors (see below), whose sum is σ = 951148408320. Its totient is φ = 105434929152.

The previous prime is 332332005013. The next prime is 332332005067. The reversal of 332332005040 is 40500233233.

It is an interprime number because it is at equal distance from previous prime (332332005013) and next prime (332332005067).

It is a super-2 number, since 2×332332005040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332332004996 and 332332005014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94332 + ... + 820708.

It is an arithmetic number, because the mean of its divisors is an integer number (5944677552).

Almost surely, 2^332332005040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332332005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475574204160).

332332005040 is an abundant number, since it is smaller than the sum of its proper divisors (618816403280).

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

332332005040 is a wasteful number, since it uses less digits than its factorization.

332332005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726459 (or 726453 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

Adding to 332332005040 its reverse (40500233233), we get a palindrome (372832238273).

The spelling of 332332005040 in words is "three hundred thirty-two billion, three hundred thirty-two million, five thousand, forty".