441411222400 has 192 divisors, whose sum is σ = 1164956688000. Its totient is φ = 164773509120.

The previous prime is 441411222353. The next prime is 441411222409. The reversal of 441411222400 is 4222114144.

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 (441411222409) 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 23 ways as a sum of consecutive naturals, for example, 4019421 + ... + 4127779.

It is an arithmetic number, because the mean of its divisors is an integer number (6067482750).

Almost surely, 2^441411222400 is an apocalyptic number.

441411222400 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 441411222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582478344000).

441411222400 is an abundant number, since it is smaller than the sum of its proper divisors (723545465600).

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

441411222400 is a wasteful number, since it uses less digits than its factorization.

441411222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108469 (or 108452 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 441411222400 its reverse (4222114144), we get a palindrome (445633336544).

The spelling of 441411222400 in words is "four hundred forty-one billion, four hundred eleven million, two hundred twenty-two thousand, four hundred".