4072062080160 has 432 divisors, whose sum is σ = 14540277784032. Its totient is φ = 1077557644800.

The previous prime is 4072062080147. The next prime is 4072062080183. The reversal of 4072062080160 is 610802602704.

4072062080160 is a `hidden beast` number, since 4 + 0 + 7 + 20 + 620 + 8 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137503755 + ... + 137533365.

It is an arithmetic number, because the mean of its divisors is an integer number (33658050426).

Almost surely, 2^{4072062080160} is an apocalyptic number.

4072062080160 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 4072062080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270138892016).

4072062080160 is an abundant number, since it is smaller than the sum of its proper divisors (10468215703872).

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

4072062080160 is an equidigital number, since it uses as much as digits as its factorization.

4072062080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29781 (or 29752 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 4072062080160 its reverse (610802602704), we get a palindrome (4682864682864).

The spelling of 4072062080160 in words is "four trillion, seventy-two billion, sixty-two million, eighty thousand, one hundred sixty".