4066071072400 has 240 divisors, whose sum is σ = 10277641296000. Its totient is φ = 1542900142080.

The previous prime is 4066071072373. The next prime is 4066071072431. The reversal of 4066071072400 is 42701706604.

4066071072400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4066071072400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078817716 + ... + 1078821484.

It is an arithmetic number, because the mean of its divisors is an integer number (42823505400).

Almost surely, 2^{4066071072400} is an apocalyptic number.

4066071072400 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 4066071072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138820648000).

4066071072400 is an abundant number, since it is smaller than the sum of its proper divisors (6211570223600).

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

4066071072400 is a wasteful number, since it uses less digits than its factorization.

4066071072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 4066071072400 in words is "four trillion, sixty-six billion, seventy-one million, seventy-two thousand, four hundred".