400433310401 has 2 divisors, whose sum is σ = 400433310402. Its totient is φ = 400433310400.

The previous prime is 400433310379. The next prime is 400433310427. The reversal of 400433310401 is 104013334004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 387064401025 + 13368909376 = 622145^2 + 115624^2 .

It is a cyclic number.

It is not a de Polignac number, because 400433310401 - 2¹⁰ = 400433309377 is a prime.

It is a super-2 number, since 2×400433310401² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (400433310461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200216655200 + 200216655201.

It is an arithmetic number, because the mean of its divisors is an integer number (200216655201).

Almost surely, 2^400433310401 is an apocalyptic number.

It is an amenable number.

400433310401 is a deficient number, since it is larger than the sum of its proper divisors (1).

400433310401 is an equidigital number, since it uses as much as digits as its factorization.

400433310401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 400433310401 its reverse (104013334004), we get a palindrome (504446644405).

The spelling of 400433310401 in words is "four hundred billion, four hundred thirty-three million, three hundred ten thousand, four hundred one".