4080123846240 has 384 divisors, whose sum is σ = 14063291020800. Its totient is φ = 988318679040.

The previous prime is 4080123846163. The next prime is 4080123846247. The reversal of 4080123846240 is 426483210804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4080123846192 and 4080123846201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080123846247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117163551 + ... + 117198369.

It is an arithmetic number, because the mean of its divisors is an integer number (36623153700).

Almost surely, 2^{4080123846240} is an apocalyptic number.

4080123846240 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 4080123846240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7031645510400).

4080123846240 is an abundant number, since it is smaller than the sum of its proper divisors (9983167174560).

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

4080123846240 is a wasteful number, since it uses less digits than its factorization.

4080123846240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35150 (or 35142 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 4080123846240 in words is "four trillion, eighty billion, one hundred twenty-three million, eight hundred forty-six thousand, two hundred forty".