4127420025 has 27 divisors (see below), whose sum is σ = 7394394319. Its totient is φ = 2200776720.

The previous prime is 4127419999. The next prime is 4127420029. The reversal of 4127420025 is 5200247214.

The square root of 4127420025 is 64245.

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

It can be written as a sum of positive squares in only one way, i.e., 1485871209 + 2641548816 = 38547^2 + 51396^2 .

It is not a de Polignac number, because 4127420025 - 2⁵ = 4127419993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4127420029) 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, 961534 + ... + 965816.

Almost surely, 2^4127420025 is an apocalyptic number.

4127420025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4127420025 is the 64245-th square number.

4127420025 is the 32123-rd centered octagonal number.

It is an amenable number.

4127420025 is a deficient number, since it is larger than the sum of its proper divisors (3266974294).

4127420025 is an frugal number, since it uses more digits than its factorization.

4127420025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8582 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The cubic root of 4127420025 is about 1604.0807325043.

Adding to 4127420025 its reverse (5200247214), we get a palindrome (9327667239).

The spelling of 4127420025 in words is "four billion, one hundred twenty-seven million, four hundred twenty thousand, twenty-five".