400440331400320 has 64 divisors (see below), whose sum is σ = 957436998724800. Its totient is φ = 160153656183808.

The previous prime is 400440331400309. The next prime is 400440331400323. The reversal of 400440331400320 is 23004133044004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×400440331400320⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (400440331400323) 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 in 7 ways as a sum of consecutive naturals, for example, 39334330 + ... + 48456889.

It is an arithmetic number, because the mean of its divisors is an integer number (14959953105075).

Almost surely, 2^{400440331400320} is an apocalyptic number.

400440331400320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400440331400320 is an abundant number, since it is smaller than the sum of its proper divisors (556996667324480).

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

400440331400320 is an equidigital number, since it uses as much as digits as its factorization.

400440331400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87798365 (or 87798353 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 400440331400320 its reverse (23004133044004), we get a palindrome (423444464444324).

The spelling of 400440331400320 in words is "four hundred trillion, four hundred forty billion, three hundred thirty-one million, four hundred thousand, three hundred twenty".