441214400000 has 720 divisors, whose sum is σ = 1262716774704. Its totient is φ = 153753600000.

The previous prime is 441214399987. The next prime is 441214400119. The reversal of 441214400000 is 4412144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8324799974 + ... + 8324800026.

Almost surely, 2^441214400000 is an apocalyptic number.

441214400000 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 441214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631358387352).

441214400000 is an abundant number, since it is smaller than the sum of its proper divisors (821502374704).

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

441214400000 is an frugal number, since it uses more digits than its factorization.

441214400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 441214400000 its reverse (4412144), we get a palindrome (441218812144).

441214400000 divided by its reverse (4412144) gives a 5-th power (100000 = 10⁵).

The spelling of 441214400000 in words is "four hundred forty-one billion, two hundred fourteen million, four hundred thousand".