4200110039889 has 45 divisors (see below), whose sum is σ = 6380490205089. Its totient is φ = 2753432727840.

The previous prime is 4200110039887. The next prime is 4200110039893. The reversal of 4200110039889 is 9889300110024.

The square root of 4200110039889 is 2049417.

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

4200110039889 is a `hidden beast` number, since 420 + 0 + 110 + 0 + 39 + 8 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1167663942225 + 3032446097664 = 1080585^2 + 1741392^2 .

It is not a de Polignac number, because 4200110039889 - 2¹ = 4200110039887 is a prime.

It is a super-2 number, since 2×4200110039889² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4200110039887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1125128067 + ... + 1125131799.

Almost surely, 2^{4200110039889} is an apocalyptic number.

4200110039889 is the 2049417-th square number.

4200110039889 is the 1024709-th centered octagonal number.

It is an amenable number.

4200110039889 is a deficient number, since it is larger than the sum of its proper divisors (2180380165200).

4200110039889 is an frugal number, since it uses more digits than its factorization.

4200110039889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 4200110039889 in words is "four trillion, two hundred billion, one hundred ten million, thirty-nine thousand, eight hundred eighty-nine".