400181385601 has 2 divisors, whose sum is σ = 400181385602. Its totient is φ = 400181385600.

The previous prime is 400181385589. The next prime is 400181385671. The reversal of 400181385601 is 106583181004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202071826576 + 198109559025 = 449524^2 + 445095^2 .

It is a cyclic number.

It is not a de Polignac number, because 400181385601 - 2¹⁹ = 400180861313 is a prime.

It is not a weakly prime, because it can be changed into another prime (400181385671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200090692800 + 200090692801.

It is an arithmetic number, because the mean of its divisors is an integer number (200090692801).

Almost surely, 2^400181385601 is an apocalyptic number.

It is an amenable number.

400181385601 is a deficient number, since it is larger than the sum of its proper divisors (1).

400181385601 is an equidigital number, since it uses as much as digits as its factorization.

400181385601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 400181385601 in words is "four hundred billion, one hundred eighty-one million, three hundred eighty-five thousand, six hundred one".