400443600000 has 768 divisors, whose sum is σ = 1417071801600. Its totient is φ = 99993600000.

The previous prime is 400443599987. The next prime is 400443600001. The reversal of 400443600000 is 6344004.

It is a super-3 number, since 3×400443600000³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400443600000.

It is not an unprimeable number, because it can be changed into a prime (400443600001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1287599845 + ... + 1287600155.

It is an arithmetic number, because the mean of its divisors is an integer number (1845145575).

Almost surely, 2^400443600000 is an apocalyptic number.

400443600000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400443600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708535900800).

400443600000 is an abundant number, since it is smaller than the sum of its proper divisors (1016628201600).

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

400443600000 is an equidigital number, since it uses as much as digits as its factorization.

400443600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 400443600000 its reverse (6344004), we get a palindrome (400449944004).

The spelling of 400443600000 in words is "four hundred billion, four hundred forty-three million, six hundred thousand".