400200403101953 has 2 divisors, whose sum is σ = 400200403101954. Its totient is φ = 400200403101952.

The previous prime is 400200403101901. The next prime is 400200403102051. The reversal of 400200403101953 is 359101304002004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251560123258609 + 148640279843344 = 15860647^2 + 12191812^2 .

It is a cyclic number.

It is not a de Polignac number, because 400200403101953 - 2¹⁶ = 400200403036417 is a prime.

It is not a weakly prime, because it can be changed into another prime (400200403101053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200100201550976 + 200100201550977.

It is an arithmetic number, because the mean of its divisors is an integer number (200100201550977).

Almost surely, 2^{400200403101953} is an apocalyptic number.

It is an amenable number.

400200403101953 is a deficient number, since it is larger than the sum of its proper divisors (1).

400200403101953 is an equidigital number, since it uses as much as digits as its factorization.

400200403101953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 400200403101953 its reverse (359101304002004), we get a palindrome (759301707103957).

The spelling of 400200403101953 in words is "four hundred trillion, two hundred billion, four hundred three million, one hundred one thousand, nine hundred fifty-three".