441455200000 has 432 divisors, whose sum is σ = 1158203182752. Its totient is φ = 167731200000.

The previous prime is 441455199989. The next prime is 441455200001. The reversal of 441455200000 is 2554144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441455200001) 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 47 ways as a sum of consecutive naturals, for example, 1410399844 + ... + 1410400156.

It is an arithmetic number, because the mean of its divisors is an integer number (2681025886).

Almost surely, 2^441455200000 is an apocalyptic number.

441455200000 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 441455200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579101591376).

441455200000 is an abundant number, since it is smaller than the sum of its proper divisors (716747982752).

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

441455200000 is an frugal number, since it uses more digits than its factorization.

441455200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 441455200000 its reverse (2554144), we get a palindrome (441457754144).

The spelling of 441455200000 in words is "four hundred forty-one billion, four hundred fifty-five million, two hundred thousand".