4080093792000 has 576 divisors, whose sum is σ = 13679602320384. Its totient is φ = 1077840691200.

The previous prime is 4080093791989. The next prime is 4080093792001. The reversal of 4080093792000 is 2973900804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080093792001) by changing a digit.

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, 8378015757 + ... + 8378016243.

It is an arithmetic number, because the mean of its divisors is an integer number (23749309584).

Almost surely, 2^{4080093792000} is an apocalyptic number.

4080093792000 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 4080093792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839801160192).

4080093792000 is an abundant number, since it is smaller than the sum of its proper divisors (9599508528384).

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

4080093792000 is a wasteful number, since it uses less digits than its factorization.

4080093792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 4080093792000 in words is "four trillion, eighty billion, ninety-three million, seven hundred ninety-two thousand".