2200407324129 has 45 divisors (see below), whose sum is σ = 3708240676049. Its totient is φ = 1257251010120.

The previous prime is 2200407324091. The next prime is 2200407324149. The reversal of 2200407324129 is 9214237040022.

It is a happy number.

The square root of 2200407324129 is 1483377.

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

2200407324129 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 407 + 3 + 241 + 2 + 9 = 666.

It is not a de Polignac number, because 2200407324129 - 2¹¹ = 2200407322081 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2200407324093 and 2200407324102.

It is not an unprimeable number, because it can be changed into a prime (2200407324149) 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, 218051374 + ... + 218061464.

Almost surely, 2^{2200407324129} is an apocalyptic number.

2200407324129 is the 1483377-th square number.

2200407324129 is the 741689-th centered octagonal number.

It is an amenable number.

2200407324129 is a deficient number, since it is larger than the sum of its proper divisors (1507833351920).

2200407324129 is an frugal number, since it uses more digits than its factorization.

2200407324129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20216 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 2200407324129 by its sum of digits (36), we get a square (79214663668644 = 8900262²).

The spelling of 2200407324129 in words is "two trillion, two hundred billion, four hundred seven million, three hundred twenty-four thousand, one hundred twenty-nine".