4032338405680 has 320 divisors, whose sum is σ = 10791519298560. Its totient is φ = 1390414491648.

The previous prime is 4032338405581. The next prime is 4032338405729. The reversal of 4032338405680 is 865048332304.

It is a self number, because there is not a number n which added to its sum of digits gives 4032338405680.

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 63 ways as a sum of consecutive naturals, for example, 133563547 + ... + 133593733.

It is an arithmetic number, because the mean of its divisors is an integer number (33723497808).

Almost surely, 2^{4032338405680} is an apocalyptic number.

4032338405680 is a gapful number since it is divisible by the number (40) 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 4032338405680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395759649280).

4032338405680 is an abundant number, since it is smaller than the sum of its proper divisors (6759180892880).

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

4032338405680 is a wasteful number, since it uses less digits than its factorization.

4032338405680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30388 (or 30382 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 4032338405680 in words is "four trillion, thirty-two billion, three hundred thirty-eight million, four hundred five thousand, six hundred eighty".