400200312003201 has 24 divisors (see below), whose sum is σ = 580816787990400. Its totient is φ = 265533221714400.

The previous prime is 400200312003161. The next prime is 400200312003203. The reversal of 400200312003201 is 102300213002004.

400200312003201 is a `hidden beast` number, since 400 + 2 + 0 + 0 + 31 + 200 + 32 + 0 + 1 = 666.

It is not a de Polignac number, because 400200312003201 - 2¹⁷ = 400200311872129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400200312003203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84890751 + ... + 89480948.

It is an arithmetic number, because the mean of its divisors is an integer number (24200699499600).

Almost surely, 2^{400200312003201} is an apocalyptic number.

It is an amenable number.

400200312003201 is a deficient number, since it is larger than the sum of its proper divisors (180616475987199).

400200312003201 is a wasteful number, since it uses less digits than its factorization.

400200312003201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174372917 (or 174372914 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 400200312003201 its reverse (102300213002004), we get a palindrome (502500525005205).

The spelling of 400200312003201 in words is "four hundred trillion, two hundred billion, three hundred twelve million, three thousand, two hundred one".