400414441153 has 2 divisors, whose sum is σ = 400414441154. Its totient is φ = 400414441152.

The previous prime is 400414441123. The next prime is 400414441157. The reversal of 400414441153 is 351144414004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282276502209 + 118137938944 = 531297^2 + 343712^2 .

It is a cyclic number.

It is not a de Polignac number, because 400414441153 - 2⁹ = 400414440641 is a prime.

It is not a weakly prime, because it can be changed into another prime (400414441157) 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, 200207220576 + 200207220577.

It is an arithmetic number, because the mean of its divisors is an integer number (200207220577).

Almost surely, 2^400414441153 is an apocalyptic number.

It is an amenable number.

400414441153 is a deficient number, since it is larger than the sum of its proper divisors (1).

400414441153 is an equidigital number, since it uses as much as digits as its factorization.

400414441153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 400414441153 its reverse (351144414004), we get a palindrome (751558855157).

The spelling of 400414441153 in words is "four hundred billion, four hundred fourteen million, four hundred forty-one thousand, one hundred fifty-three".