400444362405 has 24 divisors (see below), whose sum is σ = 694203307512. Its totient is φ = 213539635584.

The previous prime is 400444362389. The next prime is 400444362407. The reversal of 400444362405 is 504263444004.

400444362405 is a `hidden beast` number, since 400 + 4 + 4 + 4 + 3 + 6 + 240 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23789669121 + 376654693284 = 154239^2 + 613722^2 .

It is not a de Polignac number, because 400444362405 - 2⁴ = 400444362389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400444362405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400444362407) 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 in 23 ways as a sum of consecutive naturals, for example, 321034 + ... + 950763.

It is an arithmetic number, because the mean of its divisors is an integer number (28925137813).

Almost surely, 2^400444362405 is an apocalyptic number.

400444362405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400444362405 is a deficient number, since it is larger than the sum of its proper divisors (293758945107).

400444362405 is a wasteful number, since it uses less digits than its factorization.

400444362405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278805 (or 1278802 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 400444362405 in words is "four hundred billion, four hundred forty-four million, three hundred sixty-two thousand, four hundred five".