4080683665520 has 480 divisors, whose sum is σ = 12352676878080. Its totient is φ = 1239284551680.

The previous prime is 4080683665493. The next prime is 4080683665561. The reversal of 4080683665520 is 255663860804.

4080683665520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261256271 + ... + 261271889.

It is an arithmetic number, because the mean of its divisors is an integer number (25734743496).

Almost surely, 2^{4080683665520} is an apocalyptic number.

4080683665520 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 4080683665520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176338439040).

4080683665520 is an abundant number, since it is smaller than the sum of its proper divisors (8271993212560).

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

4080683665520 is a wasteful number, since it uses less digits than its factorization.

4080683665520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 53.

The spelling of 4080683665520 in words is "four trillion, eighty billion, six hundred eighty-three million, six hundred sixty-five thousand, five hundred twenty".