440400400000 has 384 divisors, whose sum is σ = 1209387594240. Its totient is φ = 158400000000.

The previous prime is 440400399991. The next prime is 440400400021. The reversal of 440400400000 is 4004044.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 47 ways as a sum of consecutive naturals, for example, 444399505 + ... + 444400495.

It is an arithmetic number, because the mean of its divisors is an integer number (3149446860).

Almost surely, 2^440400400000 is an apocalyptic number.

440400400000 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 440400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604693797120).

440400400000 is an abundant number, since it is smaller than the sum of its proper divisors (768987194240).

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

440400400000 is an equidigital number, since it uses as much as digits as its factorization.

440400400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 440400400000 its reverse (4004044), we get a palindrome (440404404044).

The spelling of 440400400000 in words is "four hundred forty billion, four hundred million, four hundred thousand".