400211121111509 has 2 divisors, whose sum is σ = 400211121111510. Its totient is φ = 400211121111508.

The previous prime is 400211121111491. The next prime is 400211121111511. The reversal of 400211121111509 is 905111121112004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 369658417609009 + 30552703502500 = 19226503^2 + 5527450^2 .

It is a cyclic number.

It is not a de Polignac number, because 400211121111509 - 2²⁸ = 400210852676053 is a prime.

It is a super-2 number, since 2×400211121111509² (a number of 30 digits) contains 22 as substring.

Together with 400211121111511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400211121141509) 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 as a sum of consecutive naturals, namely, 200105560555754 + 200105560555755.

It is an arithmetic number, because the mean of its divisors is an integer number (200105560555755).

Almost surely, 2^{400211121111509} is an apocalyptic number.

It is an amenable number.

400211121111509 is a deficient number, since it is larger than the sum of its proper divisors (1).

400211121111509 is an equidigital number, since it uses as much as digits as its factorization.

400211121111509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 29.

The spelling of 400211121111509 in words is "four hundred trillion, two hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, five hundred nine".