4027988790225 has 81 divisors (see below), whose sum is σ = 7327532145297. Its totient is φ = 2115137407680.

The previous prime is 4027988790211. The next prime is 4027988790233. The reversal of 4027988790225 is 5220978897204.

The square root of 4027988790225 is 2006985.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1947540264849 + 2080448525376 = 1395543^2 + 1442376^2 .

It is not a de Polignac number, because 4027988790225 - 2⁵ = 4027988790193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2017018927 + ... + 2017020923.

Almost surely, 2^{4027988790225} is an apocalyptic number.

4027988790225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4027988790225 is the 2006985-th square number.

4027988790225 is the 1003493-rd centered octagonal number.

It is an amenable number.

4027988790225 is a deficient number, since it is larger than the sum of its proper divisors (3299543355072).

4027988790225 is an frugal number, since it uses more digits than its factorization.

4027988790225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 4027988790225 in words is "four trillion, twenty-seven billion, nine hundred eighty-eight million, seven hundred ninety thousand, two hundred twenty-five".