400324474944 has 189 divisors, whose sum is σ = 1177959176589. Its totient is φ = 129984353280.

The previous prime is 400324474937. The next prime is 400324474951. The reversal of 400324474944 is 449474423004.

It is a happy number.

The square root of 400324474944 is 632712.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (400324474937) and next prime (400324474951).

It can be written as a sum of positive squares in only one way, i.e., 19289876544 + 381034598400 = 138888^2 + 617280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 400324474944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 622588287 + ... + 622588929.

Almost surely, 2^400324474944 is an apocalyptic number.

400324474944 is the 632712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400324474944

400324474944 is an abundant number, since it is smaller than the sum of its proper divisors (777634701645).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400324474944 is an frugal number, since it uses more digits than its factorization.

400324474944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

Adding to 400324474944 its reverse (449474423004), we get a palindrome (849798897948).

The spelling of 400324474944 in words is "four hundred billion, three hundred twenty-four million, four hundred seventy-four thousand, nine hundred forty-four".