200400440101001 has 64 divisors (see below), whose sum is σ = 242257933209600. Its totient is φ = 162061220192256.

The previous prime is 200400440100937. The next prime is 200400440101051. The reversal of 200400440101001 is 100101044004002.

It is not a de Polignac number, because 200400440101001 - 2⁶ = 200400440100937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200400440101051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35984992745 + ... + 35984998313.

It is an arithmetic number, because the mean of its divisors is an integer number (3785280206400).

Almost surely, 2^{200400440101001} is an apocalyptic number.

It is an amenable number.

200400440101001 is a deficient number, since it is larger than the sum of its proper divisors (41857493108599).

200400440101001 is a wasteful number, since it uses less digits than its factorization.

200400440101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 200400440101001 its reverse (100101044004002), we get a palindrome (300501484105003).

The spelling of 200400440101001 in words is "two hundred trillion, four hundred billion, four hundred forty million, one hundred one thousand, one".