4072162561600 has 189 divisors, whose sum is σ = 11657611523313. Its totient is φ = 1395976296960.

The previous prime is 4072162561549. The next prime is 4072162561609. The reversal of 4072162561600 is 61652612704.

It is a happy number.

The square root of 4072162561600 is 2017960.

It is a perfect power (a square), and thus also a powerful number.

4072162561600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1465978522176 + 2606184039424 = 1210776^2 + 1614368^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4072162561609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 565025197 + ... + 565032403.

Almost surely, 2^{4072162561600} is an apocalyptic number.

4072162561600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4072162561600 is the 2017960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072162561600

4072162561600 is an abundant number, since it is smaller than the sum of its proper divisors (7585448961713).

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

4072162561600 is an frugal number, since it uses more digits than its factorization.

4072162561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14450 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 4072162561600 in words is "four trillion, seventy-two billion, one hundred sixty-two million, five hundred sixty-one thousand, six hundred".