441054400000 has 240 divisors, whose sum is σ = 1119793641120. Its totient is φ = 173491200000.

The previous prime is 441054399991. The next prime is 441054400009. The reversal of 441054400000 is 4450144.

It is an interprime number because it is at equal distance from previous prime (441054399991) and next prime (441054400009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441054400009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97597741 + ... + 97602259.

It is an arithmetic number, because the mean of its divisors is an integer number (4665806838).

Almost surely, 2^441054400000 is an apocalyptic number.

441054400000 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 441054400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559896820560).

441054400000 is an abundant number, since it is smaller than the sum of its proper divisors (678739241120).

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

441054400000 is an frugal number, since it uses more digits than its factorization.

441054400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 441054400000 its reverse (4450144), we get a palindrome (441058850144).

The spelling of 441054400000 in words is "four hundred forty-one billion, fifty-four million, four hundred thousand".